10617858004457 has 16 divisors (see below), whose sum is σ = 11658390497280. Its totient is φ = 9589968762000.

The previous prime is 10617858004451. The next prime is 10617858004463. The reversal of 10617858004457 is 75440085871601.

10617858004457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10617858004451) and next prime (10617858004463).

It is not a de Polignac number, because 10617858004457 - 2⁴² = 6219811493353 is a prime.

It is a super-2 number, since 2×10617858004457² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10617858004451) 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, 272669 + ... + 4616282.

It is an arithmetic number, because the mean of its divisors is an integer number (728649406080).

Almost surely, 2^{10617858004457} is an apocalyptic number.

It is an amenable number.

10617858004457 is a deficient number, since it is larger than the sum of its proper divisors (1040532492823).

10617858004457 is a wasteful number, since it uses less digits than its factorization.

10617858004457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4890244.

The product of its (nonzero) digits is 7526400, while the sum is 56.

The spelling of 10617858004457 in words is "ten trillion, six hundred seventeen billion, eight hundred fifty-eight million, four thousand, four hundred fifty-seven".