113607191174400 has 6480 divisors, whose sum is σ = 558970686364160. Its totient is φ = 22532235264000.

The previous prime is 113607191174387. The next prime is 113607191174441. The reversal of 113607191174400 is 4471191706311.

113607191174400 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 7 + 191 + 17 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 1556262892764 + ... + 1556262892836.

Almost surely, 2^{113607191174400} is an apocalyptic number.

113607191174400 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 113607191174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279485343182080).

113607191174400 is an abundant number, since it is smaller than the sum of its proper divisors (445363495189760).

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

113607191174400 is an equidigital number, since it uses as much as digits as its factorization.

113607191174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 113607191174400 in words is "one hundred thirteen trillion, six hundred seven billion, one hundred ninety-one million, one hundred seventy-four thousand, four hundred".