111623856960 has 1344 divisors, whose sum is σ = 481609359360. Its totient is φ = 21264629760.

The previous prime is 111623856937. The next prime is 111623856973. The reversal of 111623856960 is 69658326111.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1254200596 + ... + 1254200684.

Almost surely, 2^111623856960 is an apocalyptic number.

111623856960 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 111623856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240804679680).

111623856960 is an abundant number, since it is smaller than the sum of its proper divisors (369985502400).

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

111623856960 is a wasteful number, since it uses less digits than its factorization.

111623856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 111623856960 in words is "one hundred eleven billion, six hundred twenty-three million, eight hundred fifty-six thousand, nine hundred sixty".