113909458094208 has 512 divisors, whose sum is σ = 387354756096000. Its totient is φ = 32280975360000.

The previous prime is 113909458094207. The next prime is 113909458094209. The reversal of 113909458094208 is 802490854909311.

113909458094208 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 0 + 9 + 4 + 580 + 9 + 42 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (113909458094207) and next prime (113909458094209).

It is a super-2 number, since 2×113909458094208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (113909458094207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1463359353 + ... + 1463437191.

It is an arithmetic number, because the mean of its divisors is an integer number (756552258000).

Almost surely, 2^{113909458094208} is an apocalyptic number.

113909458094208 is a gapful number since it is divisible by the number (18) 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 113909458094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193677378048000).

113909458094208 is an abundant number, since it is smaller than the sum of its proper divisors (273445298001792).

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

113909458094208 is a wasteful number, since it uses less digits than its factorization.

113909458094208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78361 (or 78343 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 113909458094208 in words is "one hundred thirteen trillion, nine hundred nine billion, four hundred fifty-eight million, ninety-four thousand, two hundred eight".