111635845920 has 480 divisors, whose sum is σ = 410456471040. Its totient is φ = 28542689280.

The previous prime is 111635845891. The next prime is 111635845931. The reversal of 111635845920 is 29548536111.

It is a happy number.

111635845920 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 58 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45397651 + ... + 45400109.

It is an arithmetic number, because the mean of its divisors is an integer number (855117648).

Almost surely, 2^111635845920 is an apocalyptic number.

111635845920 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 111635845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205228235520).

111635845920 is an abundant number, since it is smaller than the sum of its proper divisors (298820625120).

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

111635845920 is a wasteful number, since it uses less digits than its factorization.

111635845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 111635845920 in words is "one hundred eleven billion, six hundred thirty-five million, eight hundred forty-five thousand, nine hundred twenty".