113933651328 has 320 divisors, whose sum is σ = 389920312320. Its totient is φ = 32349404160.

The previous prime is 113933651317. The next prime is 113933651333. The reversal of 113933651328 is 823156339311.

113933651328 is a `hidden beast` number, since 1 + 13 + 93 + 36 + 513 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11825073 + ... + 11834703.

It is an arithmetic number, because the mean of its divisors is an integer number (1218500976).

Almost surely, 2^113933651328 is an apocalyptic number.

113933651328 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 113933651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194960156160).

113933651328 is an abundant number, since it is smaller than the sum of its proper divisors (275986660992).

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

113933651328 is an equidigital number, since it uses as much as digits as its factorization.

113933651328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9827 (or 9806 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 113933651328 in words is "one hundred thirteen billion, nine hundred thirty-three million, six hundred fifty-one thousand, three hundred twenty-eight".