1314107392 has 208 divisors, whose sum is σ = 3137480640. Its totient is φ = 544997376.

The previous prime is 1314107371. The next prime is 1314107401. The reversal of 1314107392 is 2937014131.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35516398 + ... + 35516434.

Almost surely, 2^1314107392 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 1314107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568740320).

1314107392 is an abundant number, since it is smaller than the sum of its proper divisors (1823373248).

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

1314107392 is a wasteful number, since it uses less digits than its factorization.

1314107392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 1314107392 is about 36250.6191947117. The cubic root of 1314107392 is about 1095.3265616215.

The spelling of 1314107392 in words is "one billion, three hundred fourteen million, one hundred seven thousand, three hundred ninety-two".