10618636890625 has 63 divisors (see below), whose sum is σ = 13442771152983. Its totient is φ = 8387700750000.

The previous prime is 10618636890611. The next prime is 10618636890677. The reversal of 10618636890625 is 52609863681601.

The square root of 10618636890625 is 3258625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 9302945305329 + 1315691585296 = 3050073^2 + 1147036^2 .

It is not a de Polignac number, because 10618636890625 - 2¹³ = 10618636882433 is a prime.

It is a super-2 number, since 2×10618636890625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 53359984276 + ... + 53359984474.

Almost surely, 2^{10618636890625} is an apocalyptic number.

10618636890625 is the 3258625-th square number.

10618636890625 is the 1629313-rd centered octagonal number.

It is an amenable number.

10618636890625 is a deficient number, since it is larger than the sum of its proper divisors (2824134262358).

10618636890625 is an frugal number, since it uses more digits than its factorization.

10618636890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 10618636890625 in words is "ten trillion, six hundred eighteen billion, six hundred thirty-six million, eight hundred ninety thousand, six hundred twenty-five".