1314096264 has 128 divisors (see below), whose sum is σ = 3943296000. Its totient is φ = 403080192.

The previous prime is 1314096263. The next prime is 1314096269. The reversal of 1314096264 is 4626904131.

1314096264 is a `hidden beast` number, since 13 + 14 + 0 + 9 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1314096263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344544 + ... + 1345520.

It is an arithmetic number, because the mean of its divisors is an integer number (30807000).

Almost surely, 2^1314096264 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 1314096264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971648000).

1314096264 is an abundant number, since it is smaller than the sum of its proper divisors (2629199736).

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

1314096264 is a wasteful number, since it uses less digits than its factorization.

1314096264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1314096264 is about 36250.4657073533. The cubic root of 1314096264 is about 1095.3234698325.

The spelling of 1314096264 in words is "one billion, three hundred fourteen million, ninety-six thousand, two hundred sixty-four".