319319148672 has 160 divisors (see below), whose sum is σ = 951953393820. Its totient is φ = 106253254656.

The previous prime is 319319148653. The next prime is 319319148691. The reversal of 319319148672 is 276841913913.

319319148672 is a `hidden beast` number, since 3 + 1 + 9 + 3 + 1 + 91 + 486 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (319319148653) and next prime (319319148691).

It can be written as a sum of positive squares in 2 ways, for example, as 178442035776 + 140877112896 = 422424^2 + 375336^2 .

It is a super-2 number, since 2×319319148672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5955648 + ... + 6009024.

Almost surely, 2^319319148672 is an apocalyptic number.

319319148672 is a gapful number since it is divisible by the number (32) 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 319319148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475976696910).

319319148672 is an abundant number, since it is smaller than the sum of its proper divisors (632634245148).

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

319319148672 is an equidigital number, since it uses as much as digits as its factorization.

319319148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53980 (or 53959 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 319319148672 in words is "three hundred nineteen billion, three hundred nineteen million, one hundred forty-eight thousand, six hundred seventy-two".