113145630400 has 168 divisors, whose sum is σ = 308700799920. Its totient is φ = 40468992000.

The previous prime is 113145630383. The next prime is 113145630469. The reversal of 113145630400 is 4036541311.

It is a super-2 number, since 2×113145630400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020906 + ... + 1126294.

Almost surely, 2^113145630400 is an apocalyptic number.

113145630400 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 113145630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154350399960).

113145630400 is an abundant number, since it is smaller than the sum of its proper divisors (195555169520).

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

113145630400 is a wasteful number, since it uses less digits than its factorization.

113145630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105483 (or 105468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 113145630400 in words is "one hundred thirteen billion, one hundred forty-five million, six hundred thirty thousand, four hundred".