112610744346240 has 1280 divisors, whose sum is σ = 481765511082240. Its totient is φ = 24527668838400.

The previous prime is 112610744346229. The next prime is 112610744346259. The reversal of 112610744346240 is 42643447016211.

112610744346240 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 10 + 7 + 4 + 4 + 3 + 4 + 624 + 0 = 666.

It is a super-3 number, since 3×112610744346240³ (a number of 43 digits) contains 333 as substring.

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 159 ways as a sum of consecutive naturals, for example, 639669430 + ... + 639845450.

It is an arithmetic number, because the mean of its divisors is an integer number (376379305533).

Almost surely, 2^{112610744346240} is an apocalyptic number.

112610744346240 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 112610744346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240882755541120).

112610744346240 is an abundant number, since it is smaller than the sum of its proper divisors (369154766736000).

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

112610744346240 is a wasteful number, since it uses less digits than its factorization.

112610744346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176143 (or 176122 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 112610744346240 in words is "one hundred twelve trillion, six hundred ten billion, seven hundred forty-four million, three hundred forty-six thousand, two hundred forty".