111742838000640 has 2112 divisors, whose sum is σ = 511783351492608. Its totient is φ = 21862180454400.

The previous prime is 111742838000617. The next prime is 111742838000653. The reversal of 111742838000640 is 46000838247111.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4069725792 + ... + 4069753248.

Almost surely, 2^{111742838000640} is an apocalyptic number.

111742838000640 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 111742838000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255891675746304).

111742838000640 is an abundant number, since it is smaller than the sum of its proper divisors (400040513491968).

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

111742838000640 is a wasteful number, since it uses less digits than its factorization.

111742838000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27574 (or 27553 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 111742838000640 in words is "one hundred eleven trillion, seven hundred forty-two billion, eight hundred thirty-eight million, six hundred forty", and thus it is an aban number.