13630182930 has 384 divisors, whose sum is σ = 45451929600. Its totient is φ = 2845829376.

The previous prime is 13630182913. The next prime is 13630182977. The reversal of 13630182930 is 3928103631.

13630182930 is a `hidden beast` number, since 1 + 3 + 630 + 18 + 2 + 9 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44397837 + ... + 44398143.

It is an arithmetic number, because the mean of its divisors is an integer number (118364400).

Almost surely, 2^13630182930 is an apocalyptic number.

13630182930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13630182930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22725964800).

13630182930 is an abundant number, since it is smaller than the sum of its proper divisors (31821746670).

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

13630182930 is a wasteful number, since it uses less digits than its factorization.

13630182930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 13630182930 in words is "thirteen billion, six hundred thirty million, one hundred eighty-two thousand, nine hundred thirty".