84581311318548 has 96 divisors (see below), whose sum is σ = 218971084631040. Its totient is φ = 25193510112000.

The previous prime is 84581311318547. The next prime is 84581311318613.

84581311318548 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84581311318491 and 84581311318500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84581311318541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70753113 + ... + 71938623.

It is an arithmetic number, because the mean of its divisors is an integer number (2280948798240).

Almost surely, 2^{84581311318548} 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 84581311318548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109485542315520).

84581311318548 is an abundant number, since it is smaller than the sum of its proper divisors (134389773312492).

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

84581311318548 is a wasteful number, since it uses less digits than its factorization.

84581311318548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194749 (or 1194747 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 60.

The spelling of 84581311318548 in words is "eighty-four trillion, five hundred eighty-one billion, three hundred eleven million, three hundred eighteen thousand, five hundred forty-eight".