13661510460 has 72 divisors (see below), whose sum is σ = 41421083760. Its totient is φ = 3362830848.

The previous prime is 13661510453. The next prime is 13661510477. The reversal of 13661510460 is 6401516631.

13661510460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663505 + ... + 683784.

It is an arithmetic number, because the mean of its divisors is an integer number (575292830).

Almost surely, 2^13661510460 is an apocalyptic number.

13661510460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13661510460 is an abundant number, since it is smaller than the sum of its proper divisors (27759573300).

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

13661510460 is a wasteful number, since it uses less digits than its factorization.

13661510460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347327 (or 1347312 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 13661510460 in words is "thirteen billion, six hundred sixty-one million, five hundred ten thousand, four hundred sixty".