113388871680 has 896 divisors, whose sum is σ = 468559042560. Its totient is φ = 25480396800.

The previous prime is 113388871633. The next prime is 113388871733. The reversal of 113388871680 is 86178883311.

It is a happy number.

113388871680 is a `hidden beast` number, since 113 + 388 + 8 + 71 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 750919605 + ... + 750919755.

It is an arithmetic number, because the mean of its divisors is an integer number (522945360).

Almost surely, 2^113388871680 is an apocalyptic number.

113388871680 is a gapful number since it is divisible by the number (10) 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 113388871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234279521280).

113388871680 is an abundant number, since it is smaller than the sum of its proper divisors (355170170880).

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

113388871680 is an equidigital number, since it uses as much as digits as its factorization.

113388871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 113388871680 in words is "one hundred thirteen billion, three hundred eighty-eight million, eight hundred seventy-one thousand, six hundred eighty".