113650237440 has 408 divisors, whose sum is σ = 399331394280. Its totient is φ = 29896998912.

The previous prime is 113650237439. The next prime is 113650237447. The reversal of 113650237440 is 44732056311.

113650237440 is a `hidden beast` number, since 1 + 136 + 50 + 2 + 37 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 496041984 + 113154195456 = 22272^2 + 336384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113650237395 and 113650237404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113650237447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262471464 + ... + 262471896.

Almost surely, 2^113650237440 is an apocalyptic number.

113650237440 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 113650237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199665697140).

113650237440 is an abundant number, since it is smaller than the sum of its proper divisors (285681156840).

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

113650237440 is an frugal number, since it uses more digits than its factorization.

113650237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 113650237440 in words is "one hundred thirteen billion, six hundred fifty million, two hundred thirty-seven thousand, four hundred forty".