112465025280 has 432 divisors, whose sum is σ = 404581020480. Its totient is φ = 28809510912.

The previous prime is 112465025269. The next prime is 112465025317. The reversal of 112465025280 is 82520564211.

112465025280 is a `hidden beast` number, since 1 + 1 + 24 + 6 + 502 + 52 + 80 = 666.

It is a super-2 number, since 2×112465025280² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75835419 + ... + 75836901.

It is an arithmetic number, because the mean of its divisors is an integer number (936530140).

Almost surely, 2^112465025280 is an apocalyptic number.

112465025280 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 112465025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202290510240).

112465025280 is an abundant number, since it is smaller than the sum of its proper divisors (292115995200).

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

112465025280 is a wasteful number, since it uses less digits than its factorization.

112465025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 112465025280 its reverse (82520564211), we get a palindrome (194985589491).

The spelling of 112465025280 in words is "one hundred twelve billion, four hundred sixty-five million, twenty-five thousand, two hundred eighty".