80228056864464 has 240 divisors, whose sum is σ = 238423955128320. Its totient is φ = 25112976134400.

The previous prime is 80228056864457. The next prime is 80228056864477. The reversal of 80228056864464 is 46446865082208.

80228056864464 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 8 + 0 + 568 + 6 + 4 + 4 + 64 = 666.

It is a super-2 number, since 2×80228056864464² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191072257 + ... + 191491679.

It is an arithmetic number, because the mean of its divisors is an integer number (993433146368).

Almost surely, 2^{80228056864464} 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 80228056864464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119211977564160).

80228056864464 is an abundant number, since it is smaller than the sum of its proper divisors (158195898263856).

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

80228056864464 is a wasteful number, since it uses less digits than its factorization.

80228056864464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420070 (or 420061 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 80228056864464 in words is "eighty trillion, two hundred twenty-eight billion, fifty-six million, eight hundred sixty-four thousand, four hundred sixty-four".