80249315328 has 672 divisors, whose sum is σ = 296548551936. Its totient is φ = 21116878848.

The previous prime is 80249315261. The next prime is 80249315347. The reversal of 80249315328 is 82351394208.

80249315328 is a `hidden beast` number, since 8 + 0 + 2 + 4 + 9 + 315 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×80249315328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181149475 + ... + 181149917.

It is an arithmetic number, because the mean of its divisors is an integer number (441292488).

Almost surely, 2^80249315328 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 80249315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148274275968).

80249315328 is an abundant number, since it is smaller than the sum of its proper divisors (216299236608).

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

80249315328 is an equidigital number, since it uses as much as digits as its factorization.

80249315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 80249315328 in words is "eighty billion, two hundred forty-nine million, three hundred fifteen thousand, three hundred twenty-eight".