13630414600 has 96 divisors (see below), whose sum is σ = 34914551040. Its totient is φ = 4907360000.

The previous prime is 13630414591. The next prime is 13630414619. The reversal of 13630414600 is 641403631.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191529 + ... + 252871.

It is an arithmetic number, because the mean of its divisors is an integer number (363693240).

Almost surely, 2^13630414600 is an apocalyptic number.

13630414600 is a gapful number since it is divisible by the number (10) 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 13630414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457275520).

13630414600 is an abundant number, since it is smaller than the sum of its proper divisors (21284136440).

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

13630414600 is a wasteful number, since it uses less digits than its factorization.

13630414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61471 (or 61462 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 13630414600 in words is "thirteen billion, six hundred thirty million, four hundred fourteen thousand, six hundred".