13688126153856 has 1920 divisors, whose sum is σ = 53885164101120. Its totient is φ = 3435399475200.

The previous prime is 13688126153843. The next prime is 13688126153879. The reversal of 13688126153856 is 65835162188631.

13688126153856 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 8 + 1 + 2 + 615 + 3 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 13688126153793 and 13688126153802.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20961908026 + ... + 20961908678.

It is an arithmetic number, because the mean of its divisors is an integer number (28065189636).

Almost surely, 2^{13688126153856} is an apocalyptic number.

13688126153856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688126153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26942582050560).

13688126153856 is an abundant number, since it is smaller than the sum of its proper divisors (40197037947264).

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

13688126153856 is an equidigital number, since it uses as much as digits as its factorization.

13688126153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 707 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 13688126153856 in words is "thirteen trillion, six hundred eighty-eight billion, one hundred twenty-six million, one hundred fifty-three thousand, eight hundred fifty-six".