10113652224 has 480 divisors, whose sum is σ = 33677323680. Its totient is φ = 3027787776.

The previous prime is 10113652201. The next prime is 10113652249. The reversal of 10113652224 is 42225631101.

10113652224 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 652 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×10113652224² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273341934 + ... + 273341970.

It is an arithmetic number, because the mean of its divisors is an integer number (70161091).

Almost surely, 2^10113652224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838661840).

10113652224 is an abundant number, since it is smaller than the sum of its proper divisors (23563671456).

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

10113652224 is an frugal number, since it uses more digits than its factorization.

10113652224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10113652224 in words is "ten billion, one hundred thirteen million, six hundred fifty-two thousand, two hundred twenty-four".