111892042801152 has 896 divisors, whose sum is σ = 372943712937600. Its totient is φ = 32975710322688.

The previous prime is 111892042801109. The next prime is 111892042801163. The reversal of 111892042801152 is 251108240298111.

111892042801152 is a `hidden beast` number, since 1 + 1 + 18 + 9 + 204 + 280 + 1 + 152 = 666.

It is a super-2 number, since 2×111892042801152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111892042801098 and 111892042801107.

It is a congruent number.

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, 4034603478 + ... + 4034631210.

It is an arithmetic number, because the mean of its divisors is an integer number (416231822475).

Almost surely, 2^{111892042801152} is an apocalyptic number.

111892042801152 is a gapful number since it is divisible by the number (12) 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 111892042801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186471856468800).

111892042801152 is an abundant number, since it is smaller than the sum of its proper divisors (261051670136448).

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

111892042801152 is a wasteful number, since it uses less digits than its factorization.

111892042801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27851 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 111892042801152 in words is "one hundred eleven trillion, eight hundred ninety-two billion, forty-two million, eight hundred one thousand, one hundred fifty-two".