80591161248 has 240 divisors, whose sum is σ = 270264927240. Its totient is φ = 23338450944.

The previous prime is 80591161237. The next prime is 80591161283. The reversal of 80591161248 is 84216119508.

It is a happy number.

80591161248 is a `hidden beast` number, since 8 + 0 + 591 + 1 + 6 + 12 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80209036944 + 382124304 = 283212^2 + 19548^2 .

It is a super-2 number, since 2×80591161248² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 502488 + ... + 643176.

Almost surely, 2^80591161248 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 80591161248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135132463620).

80591161248 is an abundant number, since it is smaller than the sum of its proper divisors (189673765992).

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

80591161248 is a wasteful number, since it uses less digits than its factorization.

80591161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140741 (or 140724 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 80591161248 in words is "eighty billion, five hundred ninety-one million, one hundred sixty-one thousand, two hundred forty-eight".