21107629344617 has 32 divisors (see below), whose sum is σ = 22561451078400. Its totient is φ = 19690572054528.

The previous prime is 21107629344589. The next prime is 21107629344623. The reversal of 21107629344617 is 71644392670112.

It is a cyclic number.

It is not a de Polignac number, because 21107629344617 - 2²⁴ = 21107612567401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21107629344917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286141103 + ... + 286214859.

It is an arithmetic number, because the mean of its divisors is an integer number (705045346200).

Almost surely, 2^{21107629344617} is an apocalyptic number.

It is an amenable number.

21107629344617 is a deficient number, since it is larger than the sum of its proper divisors (1453821733783).

21107629344617 is a wasteful number, since it uses less digits than its factorization.

21107629344617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74705.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 21107629344617 in words is "twenty-one trillion, one hundred seven billion, six hundred twenty-nine million, three hundred forty-four thousand, six hundred seventeen".