351013106333664 has 36 divisors (see below), whose sum is σ = 998193521137176. Its totient is φ = 117004368777792.

The previous prime is 351013106333663. The next prime is 351013106333693. The reversal of 351013106333664 is 466333601310153.

351013106333664 is a `hidden beast` number, since 3 + 5 + 1 + 0 + 1 + 3 + 1 + 0 + 633 + 3 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×351013106333664² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351013106333663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 609397753764 + ... + 609397754339.

It is an arithmetic number, because the mean of its divisors is an integer number (27727597809366).

Almost surely, 2^{351013106333664} is an apocalyptic number.

It is an amenable number.

351013106333664 is an abundant number, since it is smaller than the sum of its proper divisors (647180414803512).

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

351013106333664 is a wasteful number, since it uses less digits than its factorization.

351013106333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218795508119 (or 1218795508108 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 351013106333664 in words is "three hundred fifty-one trillion, thirteen billion, one hundred six million, three hundred thirty-three thousand, six hundred sixty-four".