13698736128 has 672 divisors, whose sum is σ = 52341719040. Its totient is φ = 3344302080.

The previous prime is 13698736111. The next prime is 13698736141. The reversal of 13698736128 is 82163789631.

13698736128 is a `hidden beast` number, since 13 + 6 + 9 + 8 + 7 + 3 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107864001 + ... + 107864127.

Almost surely, 2^13698736128 is an apocalyptic number.

13698736128 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 13698736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170859520).

13698736128 is an abundant number, since it is smaller than the sum of its proper divisors (38642982912).

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

13698736128 is a wasteful number, since it uses less digits than its factorization.

13698736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 13698736128 in words is "thirteen billion, six hundred ninety-eight million, seven hundred thirty-six thousand, one hundred twenty-eight".