113484374304 has 192 divisors, whose sum is σ = 343429632000. Its totient is φ = 32141564928.

The previous prime is 113484374273. The next prime is 113484374309. The reversal of 113484374304 is 403473484311.

It is a super-2 number, since 2×113484374304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (113484374309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72792277 + ... + 72793835.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696000).

Almost surely, 2^113484374304 is an apocalyptic number.

113484374304 is a gapful number since it is divisible by the number (14) 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 113484374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171714816000).

113484374304 is an abundant number, since it is smaller than the sum of its proper divisors (229945257696).

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

113484374304 is a wasteful number, since it uses less digits than its factorization.

113484374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 113484374304 in words is "one hundred thirteen billion, four hundred eighty-four million, three hundred seventy-four thousand, three hundred four".