113437449216 has 1320 divisors, whose sum is σ = 450651635280. Its totient is φ = 28092137472.

The previous prime is 113437449149. The next prime is 113437449233. The reversal of 113437449216 is 612944734311.

It is a happy number.

113437449216 is a `hidden beast` number, since 113 + 4 + 37 + 4 + 492 + 16 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1003871176 + ... + 1003871288.

It is an arithmetic number, because the mean of its divisors is an integer number (341402754).

Almost surely, 2^113437449216 is an apocalyptic number.

113437449216 is a gapful number since it is divisible by the number (16) 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 113437449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225325817640).

113437449216 is an abundant number, since it is smaller than the sum of its proper divisors (337214186064).

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

113437449216 is a wasteful number, since it uses less digits than its factorization.

113437449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 113437449216 in words is "one hundred thirteen billion, four hundred thirty-seven million, four hundred forty-nine thousand, two hundred sixteen".