111381809235840 has 3072 divisors, whose sum is σ = 517767722035200. Its totient is φ = 22436763402240.

The previous prime is 111381809235821. The next prime is 111381809235911. The reversal of 111381809235840 is 48532908183111.

111381809235840 is a `hidden beast` number, since 1 + 1 + 1 + 38 + 1 + 8 + 0 + 9 + 23 + 584 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 8695583356 + ... + 8695596164.

It is an arithmetic number, because the mean of its divisors is an integer number (168544180350).

Almost surely, 2^{111381809235840} is an apocalyptic number.

111381809235840 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 111381809235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258883861017600).

111381809235840 is an abundant number, since it is smaller than the sum of its proper divisors (406385912799360).

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

111381809235840 is a wasteful number, since it uses less digits than its factorization.

111381809235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907 (or 12883 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 111381809235840 in words is "one hundred eleven trillion, three hundred eighty-one billion, eight hundred nine million, two hundred thirty-five thousand, eight hundred forty".