111630158640 has 1280 divisors, whose sum is σ = 546805002240. Its totient is φ = 20145438720.

The previous prime is 111630158599. The next prime is 111630158641. The reversal of 111630158640 is 46851036111.

It is a happy number.

111630158640 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 0 + 1 + 5 + 8 + 640 = 666.

It is a super-2 number, since 2×111630158640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111630158595 and 111630158604.

It is not an unprimeable number, because it can be changed into a prime (111630158641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36755202 + ... + 36758238.

It is an arithmetic number, because the mean of its divisors is an integer number (427191408).

Almost surely, 2^111630158640 is an apocalyptic number.

111630158640 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 111630158640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273402501120).

111630158640 is an abundant number, since it is smaller than the sum of its proper divisors (435174843600).

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

111630158640 is a wasteful number, since it uses less digits than its factorization.

111630158640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 111630158640 in words is "one hundred eleven billion, six hundred thirty million, one hundred fifty-eight thousand, six hundred forty".