111630745512 has 384 divisors, whose sum is σ = 378333970560. Its totient is φ = 30378654720.

The previous prime is 111630745487. The next prime is 111630745519. The reversal of 111630745512 is 215547036111.

111630745512 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 30 + 74 + 551 + 2 = 666.

It is a super-2 number, since 2×111630745512² (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 not an unprimeable number, because it can be changed into a prime (111630745519) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10280278 + ... + 10291130.

It is an arithmetic number, because the mean of its divisors is an integer number (985244715).

Almost surely, 2^111630745512 is an apocalyptic number.

111630745512 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 111630745512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189166985280).

111630745512 is an abundant number, since it is smaller than the sum of its proper divisors (266703225048).

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

111630745512 is a wasteful number, since it uses less digits than its factorization.

111630745512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10935 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 111630745512 in words is "one hundred eleven billion, six hundred thirty million, seven hundred forty-five thousand, five hundred twelve".