111904650270720 has 1152 divisors, whose sum is σ = 408573940320000. Its totient is φ = 28296043560960.

The previous prime is 111904650270683. The next prime is 111904650270797. The reversal of 111904650270720 is 27072056409111.

111904650270720 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 0 + 4 + 6 + 502 + 70 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26461253566 + ... + 26461257794.

It is an arithmetic number, because the mean of its divisors is an integer number (354664878750).

Almost surely, 2^{111904650270720} is an apocalyptic number.

111904650270720 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 111904650270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204286970160000).

111904650270720 is an abundant number, since it is smaller than the sum of its proper divisors (296669290049280).

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

111904650270720 is a wasteful number, since it uses less digits than its factorization.

111904650270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 111904650270720 in words is "one hundred eleven trillion, nine hundred four billion, six hundred fifty million, two hundred seventy thousand, seven hundred twenty".