113731426670400 has 1008 divisors, whose sum is σ = 530497992860160. Its totient is φ = 22388684083200.

The previous prime is 113731426670387. The next prime is 113731426670461. The reversal of 113731426670400 is 4076624137311.

113731426670400 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 314 + 266 + 70 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 18367947 + ... + 23766453.

Almost surely, 2^{113731426670400} is an apocalyptic number.

113731426670400 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 113731426670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265248996430080).

113731426670400 is an abundant number, since it is smaller than the sum of its proper divisors (416766566189760).

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

113731426670400 is a wasteful number, since it uses less digits than its factorization.

113731426670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398572 (or 5398554 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 113731426670400 in words is "one hundred thirteen trillion, seven hundred thirty-one billion, four hundred twenty-six million, six hundred seventy thousand, four hundred".