13688994816 has 528 divisors, whose sum is σ = 48640650240. Its totient is φ = 3762339840.

The previous prime is 13688994793. The next prime is 13688994841. The reversal of 13688994816 is 61849988631.

13688994816 is a `hidden beast` number, since 1 + 3 + 68 + 8 + 99 + 481 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50512761 + ... + 50513031.

Almost surely, 2^13688994816 is an apocalyptic number.

13688994816 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 13688994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24320325120).

13688994816 is an abundant number, since it is smaller than the sum of its proper divisors (34951655424).

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

13688994816 is an equidigital number, since it uses as much as digits as its factorization.

13688994816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 312 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 13688994816 in words is "thirteen billion, six hundred eighty-eight million, nine hundred ninety-four thousand, eight hundred sixteen".