112897245339648 has 1792 divisors, whose sum is σ = 444690715392000. Its totient is φ = 27403317411840.

The previous prime is 112897245339643. The next prime is 112897245339649. The reversal of 112897245339648 is 846933542798211.

112897245339648 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 7 + 24 + 533 + 9 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112897245339643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43139947236 + ... + 43139949852.

It is an arithmetic number, because the mean of its divisors is an integer number (248153301000).

Almost surely, 2^{112897245339648} is an apocalyptic number.

112897245339648 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 112897245339648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222345357696000).

112897245339648 is an abundant number, since it is smaller than the sum of its proper divisors (331793470052352).

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

112897245339648 is a wasteful number, since it uses less digits than its factorization.

112897245339648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2806 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 112897245339648 in words is "one hundred twelve trillion, eight hundred ninety-seven billion, two hundred forty-five million, three hundred thirty-nine thousand, six hundred forty-eight".