13608637504 has 280 divisors, whose sum is σ = 35140135968. Its totient is φ = 5184184320.

The previous prime is 13608637489. The next prime is 13608637519. The reversal of 13608637504 is 40573680631.

It is an interprime number because it is at equal distance from previous prime (13608637489) and next prime (13608637519).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140295184 + ... + 140295280.

Almost surely, 2^13608637504 is an apocalyptic number.

13608637504 is a gapful number since it is divisible by the number (14) 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 13608637504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17570067984).

13608637504 is an abundant number, since it is smaller than the sum of its proper divisors (21531498464).

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

13608637504 is an frugal number, since it uses more digits than its factorization.

13608637504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 13608637504 in words is "thirteen billion, six hundred eight million, six hundred thirty-seven thousand, five hundred four".