334968004065744 has 480 divisors, whose sum is σ = 1128994454016000. Its totient is φ = 90642544312320.

The previous prime is 334968004065641. The next prime is 334968004065769. The reversal of 334968004065744 is 447560400869433.

334968004065744 is a `hidden beast` number, since 3 + 3 + 496 + 8 + 0 + 0 + 40 + 65 + 7 + 44 = 666.

It is a super-2 number, since 2×334968004065744² (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 95 ways as a sum of consecutive naturals, for example, 1363536877 + ... + 1363782515.

It is an arithmetic number, because the mean of its divisors is an integer number (2352071779200).

Almost surely, 2^{334968004065744} 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 334968004065744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564497227008000).

334968004065744 is an abundant number, since it is smaller than the sum of its proper divisors (794026449950256).

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

334968004065744 is a wasteful number, since it uses less digits than its factorization.

334968004065744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246263 (or 246254 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 334968004065744 in words is "three hundred thirty-four trillion, nine hundred sixty-eight billion, four million, sixty-five thousand, seven hundred forty-four".