111612167943840 has 384 divisors, whose sum is σ = 408397801996800. Its totient is φ = 28469177256960.

The previous prime is 111612167943811. The next prime is 111612167943893. The reversal of 111612167943840 is 48349761216111.

111612167943840 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 1 + 2 + 167 + 9 + 438 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51499710 + ... + 53623170.

It is an arithmetic number, because the mean of its divisors is an integer number (1063535942700).

Almost surely, 2^{111612167943840} is an apocalyptic number.

111612167943840 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 111612167943840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204198900998400).

111612167943840 is an abundant number, since it is smaller than the sum of its proper divisors (296785634052960).

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

111612167943840 is an equidigital number, since it uses as much as digits as its factorization.

111612167943840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123554 (or 2123494 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 111612167943840 in words is "one hundred eleven trillion, six hundred twelve billion, one hundred sixty-seven million, nine hundred forty-three thousand, eight hundred forty".