13616612352 has 792 divisors, whose sum is σ = 51618789600. Its totient is φ = 3525451776.

The previous prime is 13616612291. The next prime is 13616612363. The reversal of 13616612352 is 25321661631.

13616612352 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 6 + 612 + 35 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 592026613 + ... + 592026635.

Almost surely, 2^13616612352 is an apocalyptic number.

13616612352 is a gapful number since it is divisible by the number (12) 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 13616612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809394800).

13616612352 is an abundant number, since it is smaller than the sum of its proper divisors (38002177248).

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

13616612352 is a wasteful number, since it uses less digits than its factorization.

13616612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The spelling of 13616612352 in words is "thirteen billion, six hundred sixteen million, six hundred twelve thousand, three hundred fifty-two".