351393168516160 has 112 divisors (see below), whose sum is σ = 863706878762112. Its totient is φ = 136082254131200.

The previous prime is 351393168516127. The next prime is 351393168516179. The reversal of 351393168516160 is 61615861393153.

It is a super-2 number, since 2×351393168516160² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 351393168516095 and 351393168516104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100506532 + ... + 103943971.

It is an arithmetic number, because the mean of its divisors is an integer number (7711668560376).

Almost surely, 2^{351393168516160} is an apocalyptic number.

It is an amenable number.

351393168516160 is an abundant number, since it is smaller than the sum of its proper divisors (512313710245952).

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

351393168516160 is a wasteful number, since it uses less digits than its factorization.

351393168516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204450692 (or 204450682 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 58.

The spelling of 351393168516160 in words is "three hundred fifty-one trillion, three hundred ninety-three billion, one hundred sixty-eight million, five hundred sixteen thousand, one hundred sixty".