365238922500 has 675 divisors, whose sum is σ = 1283685424329. Its totient is φ = 90507456000.

The previous prime is 365238922493. The next prime is 365238922501. The reversal of 365238922500 is 5229832563.

The square root of 365238922500 is 604350.

It is a perfect power (a square), and thus also a powerful number.

365238922500 is a `hidden beast` number, since 3 + 6 + 52 + 3 + 8 + 92 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 178366007556 + 186872914944 = 422334^2 + 432288^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-3 number, since 3×365238922500³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (365238922501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 4623277461 + ... + 4623277539.

Almost surely, 2^365238922500 is an apocalyptic number.

365238922500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

365238922500 is the 604350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365238922500

365238922500 is an abundant number, since it is smaller than the sum of its proper divisors (918446501829).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

365238922500 is an equidigital number, since it uses as much as digits as its factorization.

365238922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 3652389 and 22500, that added together give a square (3674889 = 1917²).

The spelling of 365238922500 in words is "three hundred sixty-five billion, two hundred thirty-eight million, nine hundred twenty-two thousand, five hundred".