334125370656 has 1920 divisors, whose sum is σ = 1403666288640. Its totient is φ = 75246796800.

The previous prime is 334125370613. The next prime is 334125370693. The reversal of 334125370656 is 656073521433.

It is a happy number.

334125370656 is a `hidden beast` number, since 3 + 341 + 253 + 7 + 0 + 6 + 56 = 666.

It is a super-2 number, since 2×334125370656² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4577059836 + ... + 4577059908.

It is an arithmetic number, because the mean of its divisors is an integer number (731076192).

Almost surely, 2^334125370656 is an apocalyptic number.

334125370656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334125370656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701833144320).

334125370656 is an abundant number, since it is smaller than the sum of its proper divisors (1069540917984).

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

334125370656 is a wasteful number, since it uses less digits than its factorization.

334125370656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 334125370656 in words is "three hundred thirty-four billion, one hundred twenty-five million, three hundred seventy thousand, six hundred fifty-six".