361974832604160 has 704 divisors, whose sum is σ = 1247352191576064. Its totient is φ = 89414723174400.

The previous prime is 361974832604131. The next prime is 361974832604171. The reversal of 361974832604160 is 61406238479163.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 361974832604094 and 361974832604103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1034520762 + ... + 1034870598.

Almost surely, 2^{361974832604160} is an apocalyptic number.

361974832604160 is a gapful number since it is divisible by the number (30) 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 361974832604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623676095788032).

361974832604160 is an abundant number, since it is smaller than the sum of its proper divisors (885377358971904).

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

361974832604160 is a wasteful number, since it uses less digits than its factorization.

361974832604160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349990 (or 349972 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 361974832604160 in words is "three hundred sixty-one trillion, nine hundred seventy-four billion, eight hundred thirty-two million, six hundred four thousand, one hundred sixty".