365435546112 has 1680 divisors, whose sum is σ = 1445485373640. Its totient is φ = 91299446784.

The previous prime is 365435546111. The next prime is 365435546123. The reversal of 365435546112 is 211645534563.

It is a happy number.

365435546112 is a `hidden beast` number, since 3 + 6 + 543 + 55 + 46 + 1 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 293001359616 + 72434186496 = 541296^2 + 269136^2 .

It is a super-3 number, since 3×365435546112³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (365435546111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6895010278 + ... + 6895010330.

Almost surely, 2^365435546112 is an apocalyptic number.

365435546112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365435546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722742686820).

365435546112 is an abundant number, since it is smaller than the sum of its proper divisors (1080049827528).

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

365435546112 is an equidigital number, since it uses as much as digits as its factorization.

365435546112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 365435546112 in words is "three hundred sixty-five billion, four hundred thirty-five million, five hundred forty-six thousand, one hundred twelve".