111874003920 has 720 divisors, whose sum is σ = 461786158080. Its totient is φ = 23769022464.

The previous prime is 111874003883. The next prime is 111874003961. The reversal of 111874003920 is 29300478111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129633409 + ... + 129634271.

It is an arithmetic number, because the mean of its divisors is an integer number (641369664).

Almost surely, 2^111874003920 is an apocalyptic number.

111874003920 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 111874003920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230893079040).

111874003920 is an abundant number, since it is smaller than the sum of its proper divisors (349912154160).

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

111874003920 is a wasteful number, since it uses less digits than its factorization.

111874003920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 111874003920 in words is "one hundred eleven billion, eight hundred seventy-four million, three thousand, nine hundred twenty".