113626211328 has 1188 divisors, whose sum is σ = 436900781772. Its totient is φ = 28240773120.

The previous prime is 113626211297. The next prime is 113626211371. The reversal of 113626211328 is 823112626311.

113626211328 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 2 + 621 + 1 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41733586944 + 71892624384 = 204288^2 + 268128^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113626211292 and 113626211301.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2771370988 + ... + 2771371028.

Almost surely, 2^113626211328 is an apocalyptic number.

113626211328 is a gapful number since it is divisible by the number (18) 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 113626211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218450390886).

113626211328 is an abundant number, since it is smaller than the sum of its proper divisors (323274570444).

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

113626211328 is a wasteful number, since it uses less digits than its factorization.

113626211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Adding to 113626211328 its reverse (823112626311), we get a palindrome (936738837639).

The spelling of 113626211328 in words is "one hundred thirteen billion, six hundred twenty-six million, two hundred eleven thousand, three hundred twenty-eight".