112802436864 has 288 divisors, whose sum is σ = 360796251200. Its totient is φ = 34557788160.

The previous prime is 112802436839. The next prime is 112802436889. The reversal of 112802436864 is 468634208211.

112802436864 is a `hidden beast` number, since 1 + 1 + 280 + 2 + 4 + 368 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112802436839) and next prime (112802436889).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21652692 + ... + 21657900.

Almost surely, 2^112802436864 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 112802436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180398125600).

112802436864 is an abundant number, since it is smaller than the sum of its proper divisors (247993814336).

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

112802436864 is a wasteful number, since it uses less digits than its factorization.

112802436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5488 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 112802436864 in words is "one hundred twelve billion, eight hundred two million, four hundred thirty-six thousand, eight hundred sixty-four".