842157264186 has 96 divisors (see below), whose sum is σ = 2127861964800. Its totient is φ = 235756703520.

The previous prime is 842157264119. The next prime is 842157264187. The reversal of 842157264186 is 681462751248.

842157264186 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 572 + 64 + 1 + 8 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (842157264187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981055 + ... + 1626893.

It is an arithmetic number, because the mean of its divisors is an integer number (22165228800).

Almost surely, 2^842157264186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842157264186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063930982400).

842157264186 is an abundant number, since it is smaller than the sum of its proper divisors (1285704700614).

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

842157264186 is a wasteful number, since it uses less digits than its factorization.

842157264186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646064 (or 646061 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 842157264186 in words is "eight hundred forty-two billion, one hundred fifty-seven million, two hundred sixty-four thousand, one hundred eighty-six".