13408687548828 has 192 divisors, whose sum is σ = 41790544857600. Its totient is φ = 3663456491520.

The previous prime is 13408687548803. The next prime is 13408687548853. The reversal of 13408687548828 is 82884578680431.

13408687548828 is a `hidden beast` number, since 1 + 3 + 40 + 8 + 6 + 87 + 5 + 488 + 28 = 666.

13408687548828 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 (13408687548803) and next prime (13408687548853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9431413 + ... + 10759596.

It is an arithmetic number, because the mean of its divisors is an integer number (217659087800).

Almost surely, 2^{13408687548828} is an apocalyptic number.

13408687548828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13408687548828 is an abundant number, since it is smaller than the sum of its proper divisors (28381857308772).

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

13408687548828 is a wasteful number, since it uses less digits than its factorization.

13408687548828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20191089 (or 20191081 counting only the distinct ones).

The product of its (nonzero) digits is 660602880, while the sum is 72.

The spelling of 13408687548828 in words is "thirteen trillion, four hundred eight billion, six hundred eighty-seven million, five hundred forty-eight thousand, eight hundred twenty-eight".