11678110155625 has 15 divisors (see below), whose sum is σ = 14593073208483. Its totient is φ = 9342419778000.

The previous prime is 11678110155623. The next prime is 11678110155683. The reversal of 11678110155625 is 52655101187611.

The square root of 11678110155625 is 3417325.

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

11678110155625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 8775025779289 + 2903084376336 = 2962267^2 + 1703844^2 .

It is not a de Polignac number, because 11678110155625 - 2¹ = 11678110155623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11678110155623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85364779 + ... + 85501471.

Almost surely, 2^{11678110155625} is an apocalyptic number.

11678110155625 is the 3417325-th square number.

11678110155625 is the 1708663-rd centered octagonal number.

It is an amenable number.

11678110155625 is a deficient number, since it is larger than the sum of its proper divisors (2914963052858).

11678110155625 is an frugal number, since it uses more digits than its factorization.

11678110155625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273406 (or 136698 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 49.

Multiplying 11678110155625 by its sum of digits (49), we get a square (572227397625625 = 23921275²).

The spelling of 11678110155625 in words is "eleven trillion, six hundred seventy-eight billion, one hundred ten million, one hundred fifty-five thousand, six hundred twenty-five".