13692976128 has 616 divisors, whose sum is σ = 47360669328. Its totient is φ = 3917611008.

The previous prime is 13692976109. The next prime is 13692976223. The reversal of 13692976128 is 82167929631.

13692976128 is a `hidden beast` number, since 13 + 6 + 9 + 2 + 9 + 7 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164975575 + ... + 164975657.

Almost surely, 2^13692976128 is an apocalyptic number.

13692976128 is a gapful number since it is divisible by the number (18) 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 13692976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23680334664).

13692976128 is an abundant number, since it is smaller than the sum of its proper divisors (33667693200).

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

13692976128 is an equidigital number, since it uses as much as digits as its factorization.

13692976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 13692976128 in words is "thirteen billion, six hundred ninety-two million, nine hundred seventy-six thousand, one hundred twenty-eight".