34993028592456 has 64 divisors (see below), whose sum is σ = 96007002900480. Its totient is φ = 10540451350080.

The previous prime is 34993028592451. The next prime is 34993028592547. The reversal of 34993028592456 is 65429582039943.

It is a super-2 number, since 2×34993028592456² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34993028592451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396810256 + ... + 396898431.

It is an arithmetic number, because the mean of its divisors is an integer number (1500109420320).

Almost surely, 2^{34993028592456} is an apocalyptic number.

It is an amenable number.

34993028592456 is an abundant number, since it is smaller than the sum of its proper divisors (61013974308024).

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

34993028592456 is a wasteful number, since it uses less digits than its factorization.

34993028592456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793708874 (or 793708870 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 69.

The spelling of 34993028592456 in words is "thirty-four trillion, nine hundred ninety-three billion, twenty-eight million, five hundred ninety-two thousand, four hundred fifty-six".