13631666688 has 320 divisors, whose sum is σ = 42916896000. Its totient is φ = 4263985152.

The previous prime is 13631666683. The next prime is 13631666693. The reversal of 13631666688 is 88666613631.

It is an interprime number because it is at equal distance from previous prime (13631666683) and next prime (13631666693).

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

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

It is not an unprimeable number, because it can be changed into a prime (13631666683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14832693 + ... + 14833611.

It is an arithmetic number, because the mean of its divisors is an integer number (134115300).

Almost surely, 2^13631666688 is an apocalyptic number.

13631666688 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 13631666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21458448000).

13631666688 is an abundant number, since it is smaller than the sum of its proper divisors (29285229312).

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

13631666688 is an equidigital number, since it uses as much as digits as its factorization.

13631666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 990 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

It can be divided in two parts, 1363 and 1666688, that added together give a triangular number (1668051 = T₁₈₂₆).

The spelling of 13631666688 in words is "thirteen billion, six hundred thirty-one million, six hundred sixty-six thousand, six hundred eighty-eight".