113647828800 has 336 divisors, whose sum is σ = 430686130752. Its totient is φ = 25930137600.

The previous prime is 113647828799. The next prime is 113647828813. The reversal of 113647828800 is 8828746311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 113647828800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834294 + ... + 960906.

Almost surely, 2^113647828800 is an apocalyptic number.

113647828800 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 113647828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215343065376).

113647828800 is an abundant number, since it is smaller than the sum of its proper divisors (317038301952).

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

113647828800 is a wasteful number, since it uses less digits than its factorization.

113647828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126666 (or 126651 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 113647828800 in words is "one hundred thirteen billion, six hundred forty-seven million, eight hundred twenty-eight thousand, eight hundred".