1314052992 has 144 divisors (see below), whose sum is σ = 4398872400. Its totient is φ = 375427584.

The previous prime is 1314052981. The next prime is 1314053003. The reversal of 1314052992 is 2992504131.

1314052992 is a `hidden beast` number, since 1 + 3 + 1 + 40 + 529 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (1314052981) and next prime (1314053003).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44809 + ... + 68087.

It is an arithmetic number, because the mean of its divisors is an integer number (30547725).

Almost surely, 2^1314052992 is an apocalyptic number.

1314052992 is a gapful number since it is divisible by the number (12) 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 1314052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199436200).

1314052992 is an abundant number, since it is smaller than the sum of its proper divisors (3084819408).

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

1314052992 is a wasteful number, since it uses less digits than its factorization.

1314052992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23313 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1314052992 is about 36249.8688549352. The cubic root of 1314052992 is about 1095.3114470305.

The spelling of 1314052992 in words is "one billion, three hundred fourteen million, fifty-two thousand, nine hundred ninety-two".