113320348416 has 864 divisors, whose sum is σ = 404064460800. Its totient is φ = 30098718720.

The previous prime is 113320348391. The next prime is 113320348423. The reversal of 113320348416 is 614843023311.

113320348416 is a `hidden beast` number, since 1 + 1 + 33 + 203 + 4 + 8 + 416 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 892286145 + ... + 892286271.

It is an arithmetic number, because the mean of its divisors is an integer number (467667200).

Almost surely, 2^113320348416 is an apocalyptic number.

113320348416 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 113320348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202032230400).

113320348416 is an abundant number, since it is smaller than the sum of its proper divisors (290744112384).

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

113320348416 is a wasteful number, since it uses less digits than its factorization.

113320348416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 113320348416 in words is "one hundred thirteen billion, three hundred twenty million, three hundred forty-eight thousand, four hundred sixteen".