361179558432 has 864 divisors, whose sum is σ = 1339425569664. Its totient is φ = 89662464000.

The previous prime is 361179558431. The next prime is 361179558461. The reversal of 361179558432 is 234855971163.

It is a happy number.

361179558432 is a `hidden beast` number, since 3 + 6 + 11 + 79 + 558 + 4 + 3 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (361179558431) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3576035182 + ... + 3576035282.

It is an arithmetic number, because the mean of its divisors is an integer number (1550261076).

Almost surely, 2^361179558432 is an apocalyptic number.

361179558432 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 361179558432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669712784832).

361179558432 is an abundant number, since it is smaller than the sum of its proper divisors (978246011232).

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

361179558432 is a wasteful number, since it uses less digits than its factorization.

361179558432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 244 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 361179558432 in words is "three hundred sixty-one billion, one hundred seventy-nine million, five hundred fifty-eight thousand, four hundred thirty-two".