113714293440 has 224 divisors, whose sum is σ = 394704783360. Its totient is φ = 27508326400.

The previous prime is 113714293417. The next prime is 113714293489. The reversal of 113714293440 is 44392417311.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 5047000 + ... + 5069480.

Almost surely, 2^113714293440 is an apocalyptic number.

113714293440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 337215×337216.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113714293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197352391680).

113714293440 is an abundant number, since it is smaller than the sum of its proper divisors (280990489920).

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

113714293440 is a wasteful number, since it uses less digits than its factorization.

113714293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22991 (or 22981 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 113714293440 in words is "one hundred thirteen billion, seven hundred fourteen million, two hundred ninety-three thousand, four hundred forty".