11163930624 has 1040 divisors, whose sum is σ = 45670394880. Its totient is φ = 2627665920.

The previous prime is 11163930623. The next prime is 11163930629. The reversal of 11163930624 is 42603936111.

11163930624 is a `hidden beast` number, since 1 + 11 + 639 + 3 + 0 + 6 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11163930623) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 485388277 + ... + 485388299.

Almost surely, 2^11163930624 is an apocalyptic number.

11163930624 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 11163930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835197440).

11163930624 is an abundant number, since it is smaller than the sum of its proper divisors (34506464256).

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

11163930624 is a wasteful number, since it uses less digits than its factorization.

11163930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

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

The spelling of 11163930624 in words is "eleven billion, one hundred sixty-three million, nine hundred thirty thousand, six hundred twenty-four".