113627044900 has 144 divisors (see below), whose sum is σ = 263279149056. Its totient is φ = 42466596480.

The previous prime is 113627044897. The next prime is 113627044913. The reversal of 113627044900 is 9440726311.

It is a super-2 number, since 2×113627044900² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113627044900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104532157 + ... + 104533243.

It is an arithmetic number, because the mean of its divisors is an integer number (1828327424).

Almost surely, 2^113627044900 is an apocalyptic number.

113627044900 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 113627044900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131639574528).

113627044900 is an abundant number, since it is smaller than the sum of its proper divisors (149652104156).

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

113627044900 is a wasteful number, since it uses less digits than its factorization.

113627044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 113627044900 in words is "one hundred thirteen billion, six hundred twenty-seven million, forty-four thousand, nine hundred".