319490973648 has 300 divisors, whose sum is σ = 1173461759712. Its totient is φ = 82984487040.

The previous prime is 319490973629. The next prime is 319490973719. The reversal of 319490973648 is 846379094913.

319490973648 is a `hidden beast` number, since 3 + 19 + 490 + 9 + 73 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 469861 + ... + 927227.

Almost surely, 2^319490973648 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 319490973648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586730879856).

319490973648 is an abundant number, since it is smaller than the sum of its proper divisors (853970786064).

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

319490973648 is a wasteful number, since it uses less digits than its factorization.

319490973648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457412 (or 457390 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 319490973648 in words is "three hundred nineteen billion, four hundred ninety million, nine hundred seventy-three thousand, six hundred forty-eight".