84883677638848 has 112 divisors (see below), whose sum is σ = 193582292682240. Its totient is φ = 36523079193600.

The previous prime is 84883677638779. The next prime is 84883677638849.

84883677638848 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is not an unprimeable number, because it can be changed into a prime (84883677638849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13888290 + ... + 19043422.

It is an arithmetic number, because the mean of its divisors is an integer number (1728413327520).

Almost surely, 2^{84883677638848} is an apocalyptic number.

84883677638848 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 84883677638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96791146341120).

84883677638848 is an abundant number, since it is smaller than the sum of its proper divisors (108698615043392).

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

84883677638848 is a wasteful number, since it uses less digits than its factorization.

84883677638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156406 (or 5156396 counting only the distinct ones).

The product of its digits is 66588770304, while the sum is 88.

The spelling of 84883677638848 in words is "eighty-four trillion, eight hundred eighty-three billion, six hundred seventy-seven million, six hundred thirty-eight thousand, eight hundred forty-eight".