319448054016 has 1440 divisors, whose sum is σ = 1248064176128. Its totient is φ = 79009136640.

The previous prime is 319448053961. The next prime is 319448054069. The reversal of 319448054016 is 610450844913.

319448054016 is a `hidden beast` number, since 3 + 1 + 94 + 4 + 8 + 0 + 540 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2515338945 + ... + 2515339071.

Almost surely, 2^319448054016 is an apocalyptic number.

319448054016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319448054016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624032088064).

319448054016 is an abundant number, since it is smaller than the sum of its proper divisors (928616122112).

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

319448054016 is a wasteful number, since it uses less digits than its factorization.

319448054016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 319448054016 its reverse (610450844913), we get a palindrome (929898898929).

The spelling of 319448054016 in words is "three hundred nineteen billion, four hundred forty-eight million, fifty-four thousand, sixteen".