111640838400 has 1944 divisors, whose sum is σ = 527254378560. Its totient is φ = 21937029120.

The previous prime is 111640838383. The next prime is 111640838401. The reversal of 111640838400 is 4838046111.

It is a happy number.

111640838400 is a `hidden beast` number, since 1 + 1 + 1 + 640 + 8 + 3 + 8 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (111640838401) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 1892217571 + ... + 1892217629.

Almost surely, 2^111640838400 is an apocalyptic number.

111640838400 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 111640838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263627189280).

111640838400 is an abundant number, since it is smaller than the sum of its proper divisors (415613540160).

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

111640838400 is a wasteful number, since it uses less digits than its factorization.

111640838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 111640838400 in words is "one hundred eleven billion, six hundred forty million, eight hundred thirty-eight thousand, four hundred".