84631722713648 has 80 divisors (see below), whose sum is σ = 184778658170880. Its totient is φ = 37202299315200.

The previous prime is 84631722713627. The next prime is 84631722713651.

84631722713648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2534888 + ... + 13254776.

It is an arithmetic number, because the mean of its divisors is an integer number (2309733227136).

Almost surely, 2^{84631722713648} is an apocalyptic number.

84631722713648 is a gapful number since it is divisible by the number (88) 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 84631722713648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92389329085440).

84631722713648 is an abundant number, since it is smaller than the sum of its proper divisors (100146935457232).

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

84631722713648 is a wasteful number, since it uses less digits than its factorization.

84631722713648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10721386 (or 10721380 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 62.

The spelling of 84631722713648 in words is "eighty-four trillion, six hundred thirty-one billion, seven hundred twenty-two million, seven hundred thirteen thousand, six hundred forty-eight".