113335248000 has 512 divisors, whose sum is σ = 418625625600. Its totient is φ = 26931609600.

The previous prime is 113335247989. The next prime is 113335248001. The reversal of 113335248000 is 842533311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113335248001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18092869 + ... + 18099131.

It is an arithmetic number, because the mean of its divisors is an integer number (817628175).

Almost surely, 2^113335248000 is an apocalyptic number.

113335248000 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 113335248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209312812800).

113335248000 is an abundant number, since it is smaller than the sum of its proper divisors (305290377600).

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

113335248000 is a wasteful number, since it uses less digits than its factorization.

113335248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 113335248000 in words is "one hundred thirteen billion, three hundred thirty-five million, two hundred forty-eight thousand".