350881195601664 has 1728 divisors, whose sum is σ = 1345017839692800. Its totient is φ = 85380032102400.

The previous prime is 350881195601621. The next prime is 350881195601747. The reversal of 350881195601664 is 466106591188053.

350881195601664 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 8 + 1 + 1 + 9 + 560 + 1 + 6 + 64 = 666.

It is a super-2 number, since 2×350881195601664² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 112859823342 + ... + 112859826450.

Almost surely, 2^{350881195601664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350881195601664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672508919846400).

350881195601664 is an abundant number, since it is smaller than the sum of its proper divisors (994136644091136).

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

350881195601664 is a wasteful number, since it uses less digits than its factorization.

350881195601664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3902 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 350881195601664 in words is "three hundred fifty trillion, eight hundred eighty-one billion, one hundred ninety-five million, six hundred one thousand, six hundred sixty-four".