1314931968 has 180 divisors, whose sum is σ = 4481510880. Its totient is φ = 375653376.

The previous prime is 1314931957. The next prime is 1314931973. The reversal of 1314931968 is 8691394131.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 140623 + ... + 149681.

Almost surely, 2^1314931968 is an apocalyptic number.

1314931968 is a gapful number since it is divisible by the number (18) 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 1314931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240755440).

1314931968 is an abundant number, since it is smaller than the sum of its proper divisors (3166578912).

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

1314931968 is an frugal number, since it uses more digits than its factorization.

1314931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9071 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1314931968 is about 36261.9906789465. The cubic root of 1314931968 is about 1095.5556121940. Note that the first 3 decimals are identical.

The spelling of 1314931968 in words is "one billion, three hundred fourteen million, nine hundred thirty-one thousand, nine hundred sixty-eight".