113541187579200 has 1344 divisors, whose sum is σ = 439315908768000. Its totient is φ = 28476453519360.

The previous prime is 113541187579199. The next prime is 113541187579217. The reversal of 113541187579200 is 2975781145311.

It is a happy number.

113541187579200 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 41 + 1 + 8 + 7 + 579 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21386546146 + ... + 21386551454.

Almost surely, 2^{113541187579200} is an apocalyptic number.

113541187579200 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 113541187579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219657954384000).

113541187579200 is an abundant number, since it is smaller than the sum of its proper divisors (325774721188800).

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

113541187579200 is a wasteful number, since it uses less digits than its factorization.

113541187579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 113541187579200 in words is "one hundred thirteen trillion, five hundred forty-one billion, one hundred eighty-seven million, five hundred seventy-nine thousand, two hundred".