80493388416 has 768 divisors, whose sum is σ = 287424184320. Its totient is φ = 21946982400.

The previous prime is 80493388403. The next prime is 80493388433. The reversal of 80493388416 is 61488339408.

80493388416 is a `hidden beast` number, since 80 + 49 + 33 + 88 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 633806145 + ... + 633806271.

It is an arithmetic number, because the mean of its divisors is an integer number (374250240).

Almost surely, 2^80493388416 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 80493388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143712092160).

80493388416 is an abundant number, since it is smaller than the sum of its proper divisors (206930795904).

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

80493388416 is a wasteful number, since it uses less digits than its factorization.

80493388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 80493388416 in words is "eighty billion, four hundred ninety-three million, three hundred eighty-eight thousand, four hundred sixteen".