8319140341264 has 135 divisors (see below), whose sum is σ = 17066793382093. Its totient is φ = 3928082663296.

The previous prime is 8319140341261. The next prime is 8319140341327. The reversal of 8319140341264 is 4621430419138.

The square root of 8319140341264 is 2884292.

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

It can be written as a sum of positive squares in only one way, i.e., 7871054691600 + 448085649664 = 2805540^2 + 669392^2 .

It is a super-2 number, since 2×8319140341264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8319140341261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28392970302 + ... + 28392970594.

Almost surely, 2^{8319140341264} is an apocalyptic number.

8319140341264 is the 2884292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8319140341264

8319140341264 is an abundant number, since it is smaller than the sum of its proper divisors (8747653040829).

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

8319140341264 is an equidigital number, since it uses as much as digits as its factorization.

8319140341264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 8319140341264 in words is "eight trillion, three hundred nineteen billion, one hundred forty million, three hundred forty-one thousand, two hundred sixty-four".