112564363500 has 240 divisors, whose sum is σ = 379094107392. Its totient is φ = 29048544000.

The previous prime is 112564363493. The next prime is 112564363507. The reversal of 112564363500 is 5363465211.

112564363500 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 643 + 6 + 3 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112564363493) and next prime (112564363507).

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 (112564363507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1210672 + ... + 1300328.

Almost surely, 2^112564363500 is an apocalyptic number.

112564363500 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 112564363500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189547053696).

112564363500 is an abundant number, since it is smaller than the sum of its proper divisors (266529743892).

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

112564363500 is a wasteful number, since it uses less digits than its factorization.

112564363500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89719 (or 89698 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 112564363500 in words is "one hundred twelve billion, five hundred sixty-four million, three hundred sixty-three thousand, five hundred".