364381431552 has 432 divisors, whose sum is σ = 1178307067392. Its totient is φ = 111868231680.

The previous prime is 364381431529. The next prime is 364381431559. The reversal of 364381431552 is 255134183463.

364381431552 is a `hidden beast` number, since 3 + 64 + 3 + 8 + 1 + 4 + 31 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×364381431552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364381431498 and 364381431507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364381431559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49700527 + ... + 49707857.

It is an arithmetic number, because the mean of its divisors is an integer number (2727562656).

Almost surely, 2^364381431552 is an apocalyptic number.

364381431552 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 364381431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589153533696).

364381431552 is an abundant number, since it is smaller than the sum of its proper divisors (813925635840).

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

364381431552 is an equidigital number, since it uses as much as digits as its factorization.

364381431552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7400 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 364381431552 in words is "three hundred sixty-four billion, three hundred eighty-one million, four hundred thirty-one thousand, five hundred fifty-two".