113785749120 has 512 divisors, whose sum is σ = 393567310080. Its totient is φ = 27858567168.

The previous prime is 113785749079. The next prime is 113785749149. The reversal of 113785749120 is 21947587311.

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 113785749120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262784424 + ... + 262784856.

Almost surely, 2^113785749120 is an apocalyptic number.

113785749120 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 113785749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196783655040).

113785749120 is an abundant number, since it is smaller than the sum of its proper divisors (279781560960).

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

113785749120 is a wasteful number, since it uses less digits than its factorization.

113785749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 113785749120 in words is "one hundred thirteen billion, seven hundred eighty-five million, seven hundred forty-nine thousand, one hundred twenty".