319254380676 has 243 divisors, whose sum is σ = 1032704463063. Its totient is φ = 82855412640.

The previous prime is 319254380629. The next prime is 319254380677. The reversal of 319254380676 is 676083452913.

The square root of 319254380676 is 565026.

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

319254380676 is a `hidden beast` number, since 3 + 1 + 9 + 254 + 380 + 6 + 7 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (319254380677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 261041401 + ... + 261042623.

It is a 1-persistent number, because it is pandigital, but 2⋅319254380676 = 638508761352 is not.

Almost surely, 2^319254380676 is an apocalyptic number.

319254380676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

319254380676 is the 565026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319254380676

319254380676 is an abundant number, since it is smaller than the sum of its proper divisors (713450082387).

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

319254380676 is a wasteful number, since it uses less digits than its factorization.

319254380676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 319254380676 in words is "three hundred nineteen billion, two hundred fifty-four million, three hundred eighty thousand, six hundred seventy-six".