84077314048 has 432 divisors, whose sum is σ = 225925323120. Its totient is φ = 30916214784.

The previous prime is 84077314037. The next prime is 84077314063. The reversal of 84077314048 is 84041377048.

It is a junction number, because it is equal to n+sod(n) for n = 84077313989 and 84077314007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1586364390 + ... + 1586364442.

It is an arithmetic number, because the mean of its divisors is an integer number (522975285).

Almost surely, 2^84077314048 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 84077314048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112962661560).

84077314048 is an abundant number, since it is smaller than the sum of its proper divisors (141848009072).

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

84077314048 is an equidigital number, since it uses as much as digits as its factorization.

84077314048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

Subtracting from 84077314048 its reverse (84041377048), we obtain a cube (35937000 = 330³).

The spelling of 84077314048 in words is "eighty-four billion, seventy-seven million, three hundred fourteen thousand, forty-eight".