350879378115168 has 192 divisors, whose sum is σ = 1231155713088000. Its totient is φ = 94974869233152.

The previous prime is 350879378115139. The next prime is 350879378115199. The reversal of 350879378115168 is 861511873978053.

It is a happy number.

350879378115168 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 7 + 93 + 7 + 8 + 11 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 350879378115096 and 350879378115105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1526615883 + ... + 1526845706.

It is an arithmetic number, because the mean of its divisors is an integer number (6412269339000).

Almost surely, 2^{350879378115168} is an apocalyptic number.

350879378115168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

350879378115168 is an abundant number, since it is smaller than the sum of its proper divisors (880276334972832).

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

350879378115168 is a wasteful number, since it uses less digits than its factorization.

350879378115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053461634 (or 3053461620 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 72.

The spelling of 350879378115168 in words is "three hundred fifty trillion, eight hundred seventy-nine billion, three hundred seventy-eight million, one hundred fifteen thousand, one hundred sixty-eight".