112344965664 has 96 divisors (see below), whose sum is σ = 312544080576. Its totient is φ = 35212615680.

The previous prime is 112344965653. The next prime is 112344965669. The reversal of 112344965664 is 466569443211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (112344965669) 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, 1748964 + ... + 1812060.

It is an arithmetic number, because the mean of its divisors is an integer number (3255667506).

Almost surely, 2^112344965664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112344965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156272040288).

112344965664 is an abundant number, since it is smaller than the sum of its proper divisors (200199114912).

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

112344965664 is a wasteful number, since it uses less digits than its factorization.

112344965664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64218 (or 64210 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 112344965664 in words is "one hundred twelve billion, three hundred forty-four million, nine hundred sixty-five thousand, six hundred sixty-four".