112109931648 has 768 divisors, whose sum is σ = 405259545600. Its totient is φ = 29262643200.

The previous prime is 112109931641. The next prime is 112109931649. The reversal of 112109931648 is 846139901211.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112109931641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148097286 + ... + 148098042.

It is an arithmetic number, because the mean of its divisors is an integer number (527681700).

Almost surely, 2^112109931648 is an apocalyptic number.

112109931648 is a gapful number since it is divisible by the number (18) 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 112109931648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202629772800).

112109931648 is an abundant number, since it is smaller than the sum of its proper divisors (293149613952).

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

112109931648 is a wasteful number, since it uses less digits than its factorization.

112109931648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 112109931648 in words is "one hundred twelve billion, one hundred nine million, nine hundred thirty-one thousand, six hundred forty-eight".