334121151413664 has 72 divisors (see below), whose sum is σ = 950160924629280. Its totient is φ = 111373259960448.

The previous prime is 334121151413629. The next prime is 334121151413701. The reversal of 334121151413664 is 466314151121433.

334121151413664 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 21 + 151 + 413 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×334121151413664² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71918869 + ... + 76423595.

It is an arithmetic number, because the mean of its divisors is an integer number (13196679508740).

Almost surely, 2^{334121151413664} is an apocalyptic number.

It is an amenable number.

334121151413664 is an abundant number, since it is smaller than the sum of its proper divisors (616039773215616).

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

334121151413664 is a wasteful number, since it uses less digits than its factorization.

334121151413664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762282 (or 4762271 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 334121151413664 in words is "three hundred thirty-four trillion, one hundred twenty-one billion, one hundred fifty-one million, four hundred thirteen thousand, six hundred sixty-four".