112864076640 has 576 divisors, whose sum is σ = 472121395200. Its totient is φ = 23976456192.

The previous prime is 112864076629. The next prime is 112864076669. The reversal of 112864076640 is 46670468211.

It is a super-3 number, since 3×112864076640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10145001 + ... + 10156119.

It is an arithmetic number, because the mean of its divisors is an integer number (819655200).

Almost surely, 2^112864076640 is an apocalyptic number.

112864076640 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 112864076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236060697600).

112864076640 is an abundant number, since it is smaller than the sum of its proper divisors (359257318560).

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

112864076640 is a wasteful number, since it uses less digits than its factorization.

112864076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11208 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 112864076640 in words is "one hundred twelve billion, eight hundred sixty-four million, seventy-six thousand, six hundred forty".