112945226880 has 128 divisors (see below), whose sum is σ = 360723326400. Its totient is φ = 30059294720.

The previous prime is 112945226839. The next prime is 112945226881. The reversal of 112945226880 is 88622549211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (112945226881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919495 + ... + 1035065.

Almost surely, 2^112945226880 is an apocalyptic number.

112945226880 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 112945226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180361663200).

112945226880 is an abundant number, since it is smaller than the sum of its proper divisors (247778099520).

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

112945226880 is a wasteful number, since it uses less digits than its factorization.

112945226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116102 (or 116090 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 112945226880 in words is "one hundred twelve billion, nine hundred forty-five million, two hundred twenty-six thousand, eight hundred eighty".