350831392712064 has 1024 divisors, whose sum is σ = 1205444395008000. Its totient is φ = 99406973952000.

The previous prime is 350831392711939. The next prime is 350831392712089. The reversal of 350831392712064 is 460217293138053.

350831392712064 is a `hidden beast` number, since 3 + 50 + 8 + 313 + 9 + 2 + 71 + 206 + 4 = 666.

It is a super-2 number, since 2×350831392712064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 350831392712064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6976557129 + ... + 6976607415.

It is an arithmetic number, because the mean of its divisors is an integer number (1177191792000).

It is a 1-persistent number, because it is pandigital, but 2⋅350831392712064 = 701662785424128 is not.

Almost surely, 2^{350831392712064} 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 350831392712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602722197504000).

350831392712064 is an abundant number, since it is smaller than the sum of its proper divisors (854613002295936).

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

350831392712064 is a wasteful number, since it uses less digits than its factorization.

350831392712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50524 (or 50506 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 350831392712064 in words is "three hundred fifty trillion, eight hundred thirty-one billion, three hundred ninety-two million, seven hundred twelve thousand, sixty-four".