87834922274944 has 256 divisors, whose sum is σ = 197966627147520. Its totient is φ = 38514888327168.

The previous prime is 87834922274887. The next prime is 87834922274959. The reversal of 87834922274944 is 44947222943878.

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, 7435439982 + ... + 7435451794.

It is an arithmetic number, because the mean of its divisors is an integer number (773307137295).

Almost surely, 2^{87834922274944} 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 87834922274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98983313573760).

87834922274944 is an abundant number, since it is smaller than the sum of its proper divisors (110131704872576).

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

87834922274944 is a wasteful number, since it uses less digits than its factorization.

87834922274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13159 (or 13147 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 73.

The spelling of 87834922274944 in words is "eighty-seven trillion, eight hundred thirty-four billion, nine hundred twenty-two million, two hundred seventy-four thousand, nine hundred forty-four".