334140290688 has 256 divisors, whose sum is σ = 913462583040. Its totient is φ = 108191416320.

The previous prime is 334140290641. The next prime is 334140290717. The reversal of 334140290688 is 886092041433.

It is a super-2 number, since 2×334140290688² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641343868 + ... + 641344388.

It is an arithmetic number, because the mean of its divisors is an integer number (3568213215).

Almost surely, 2^334140290688 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 334140290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456731291520).

334140290688 is an abundant number, since it is smaller than the sum of its proper divisors (579322292352).

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

334140290688 is a wasteful number, since it uses less digits than its factorization.

334140290688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 334140290688 in words is "three hundred thirty-four billion, one hundred forty million, two hundred ninety thousand, six hundred eighty-eight".