80313930934416 has 225 divisors, whose sum is σ = 234633623581929. Its totient is φ = 26522351396352.

The previous prime is 80313930934411. The next prime is 80313930934429. The reversal of 80313930934416 is 61443903931308.

The square root of 80313930934416 is 8961804.

It is a perfect power (a square), and thus also a powerful number.

80313930934416 is a `hidden beast` number, since 8 + 0 + 3 + 139 + 3 + 0 + 93 + 4 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1415195744400 + 78898735190016 = 1189620^2 + 8882496^2 .

It is a super-2 number, since 2×80313930934416² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (80313930934411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 36456617571 + ... + 36456619773.

Almost surely, 2^{80313930934416} is an apocalyptic number.

80313930934416 is the 8961804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80313930934416

80313930934416 is an abundant number, since it is smaller than the sum of its proper divisors (154319692647513).

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

80313930934416 is an frugal number, since it uses more digits than its factorization.

80313930934416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4652 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 80313930934416 in words is "eighty trillion, three hundred thirteen billion, nine hundred thirty million, nine hundred thirty-four thousand, four hundred sixteen".