113882408910 has 192 divisors, whose sum is σ = 315918532800. Its totient is φ = 28363862016.

The previous prime is 113882408897. The next prime is 113882408911. The reversal of 113882408910 is 19804288311.

113882408910 is a `hidden beast` number, since 11 + 388 + 240 + 8 + 9 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113882408911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160623636 + ... + 160624344.

It is an arithmetic number, because the mean of its divisors is an integer number (1645409025).

Almost surely, 2^113882408910 is an apocalyptic number.

113882408910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113882408910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157959266400).

113882408910 is an abundant number, since it is smaller than the sum of its proper divisors (202036123890).

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

113882408910 is a wasteful number, since it uses less digits than its factorization.

113882408910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 113882408910 in words is "one hundred thirteen billion, eight hundred eighty-two million, four hundred eight thousand, nine hundred ten".