111749993376000 has 1152 divisors, whose sum is σ = 442146760753152. Its totient is φ = 24478433280000.

The previous prime is 111749993375953. The next prime is 111749993376013. The reversal of 111749993376000 is 673399947111.

It is a super-2 number, since 2×111749993376000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2145669960 + ... + 2145722040.

Almost surely, 2^{111749993376000} is an apocalyptic number.

111749993376000 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 111749993376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221073380376576).

111749993376000 is an abundant number, since it is smaller than the sum of its proper divisors (330396767377152).

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

111749993376000 is a wasteful number, since it uses less digits than its factorization.

111749993376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52256 (or 52232 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 60.

The spelling of 111749993376000 in words is "one hundred eleven trillion, seven hundred forty-nine billion, nine hundred ninety-three million, three hundred seventy-six thousand".