319686752056464 has 240 divisors, whose sum is σ = 968466280163200. Its totient is φ = 97858302474240.

The previous prime is 319686752056457. The next prime is 319686752056487. The reversal of 319686752056464 is 464650257686913.

319686752056464 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 8 + 6 + 7 + 52 + 0 + 564 + 6 + 4 = 666.

It is a super-2 number, since 2×319686752056464² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 319686752056392 and 319686752056401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3145203084 + ... + 3145304724.

It is a 2-persistent number, because it is pandigital, and so is 2⋅319686752056464 = 639373504112928, but 3⋅319686752056464 = 959060256169392 is not.

Almost surely, 2^{319686752056464} 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 319686752056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484233140081600).

319686752056464 is an abundant number, since it is smaller than the sum of its proper divisors (648779528106736).

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

319686752056464 is a wasteful number, since it uses less digits than its factorization.

319686752056464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110310 (or 110301 counting only the distinct ones).

The product of its (nonzero) digits is 1567641600, while the sum is 72.

The spelling of 319686752056464 in words is "three hundred nineteen trillion, six hundred eighty-six billion, seven hundred fifty-two million, fifty-six thousand, four hundred sixty-four".