111808365863040 has 1920 divisors, whose sum is σ = 511452181817280. Its totient is φ = 23015161774080.

The previous prime is 111808365863023. The next prime is 111808365863063. The reversal of 111808365863040 is 40368563808111.

It is a happy number.

111808365863040 is a `hidden beast` number, since 1 + 1 + 18 + 0 + 8 + 3 + 6 + 586 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×111808365863040² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2989749622 + ... + 2989787018.

Almost surely, 2^{111808365863040} is an apocalyptic number.

111808365863040 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 111808365863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255726090908640).

111808365863040 is an abundant number, since it is smaller than the sum of its proper divisors (399643815954240).

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

111808365863040 is a wasteful number, since it uses less digits than its factorization.

111808365863040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37560 (or 37532 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 111808365863040 in words is "one hundred eleven trillion, eight hundred eight billion, three hundred sixty-five million, eight hundred sixty-three thousand, forty".