13461611625 has 192 divisors, whose sum is σ = 31850956800. Its totient is φ = 5299344000.

The previous prime is 13461611623. The next prime is 13461611633. The reversal of 13461611625 is 52611616431.

13461611625 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 16 + 11 + 625 = 666.

It is not a de Polignac number, because 13461611625 - 2¹ = 13461611623 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13461611625.

It is not an unprimeable number, because it can be changed into a prime (13461611621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1641786 + ... + 1649964.

It is an arithmetic number, because the mean of its divisors is an integer number (165890400).

Almost surely, 2^13461611625 is an apocalyptic number.

13461611625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13461611625 is an abundant number, since it is smaller than the sum of its proper divisors (18389345175).

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

13461611625 is a wasteful number, since it uses less digits than its factorization.

13461611625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237 (or 8224 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 13461611625 in words is "thirteen billion, four hundred sixty-one million, six hundred eleven thousand, six hundred twenty-five".