113163148800 has 1440 divisors, whose sum is σ = 475131777120. Its totient is φ = 25480396800.

The previous prime is 113163148799. The next prime is 113163148801. The reversal of 113163148800 is 8841361311.

113163148800 is a `hidden beast` number, since 1 + 13 + 1 + 631 + 4 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113163148799) and next prime (113163148801).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113163148801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1166630352 + ... + 1166630448.

It is an arithmetic number, because the mean of its divisors is an integer number (329952623).

Almost surely, 2^113163148800 is an apocalyptic number.

113163148800 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 113163148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237565888560).

113163148800 is an abundant number, since it is smaller than the sum of its proper divisors (361968628320).

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

113163148800 is a wasteful number, since it uses less digits than its factorization.

113163148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 113163148800 in words is "one hundred thirteen billion, one hundred sixty-three million, one hundred forty-eight thousand, eight hundred".