8874345707136 has 864 divisors, whose sum is σ = 32714277991200. Its totient is φ = 2300671586304.

The previous prime is 8874345707063. The next prime is 8874345707137. The reversal of 8874345707136 is 6317075434788.

8874345707136 is a `hidden beast` number, since 8 + 8 + 7 + 43 + 4 + 570 + 7 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (8874345707137) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 562835125 + ... + 562850891.

It is an arithmetic number, because the mean of its divisors is an integer number (37863747675).

Almost surely, 2^{8874345707136} 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 8874345707136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357138995600).

8874345707136 is an abundant number, since it is smaller than the sum of its proper divisors (23839932284064).

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

8874345707136 is a wasteful number, since it uses less digits than its factorization.

8874345707136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15886 (or 15851 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 8874345707136 in words is "eight trillion, eight hundred seventy-four billion, three hundred forty-five million, seven hundred seven thousand, one hundred thirty-six".