1314762048 has 84 divisors (see below), whose sum is σ = 3990235860. Its totient is φ = 412471296.

The previous prime is 1314761977. The next prime is 1314762073. The reversal of 1314762048 is 8402674131.

1314762048 is a `hidden beast` number, since 13 + 14 + 7 + 620 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1132187904 + 182574144 = 33648^2 + 13512^2 .

It is a super-2 number, since 2×1314762048² = 3457198485722308608, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 57343 + ... + 76926.

Almost surely, 2^1314762048 is an apocalyptic number.

1314762048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1314762048 is an abundant number, since it is smaller than the sum of its proper divisors (2675473812).

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

1314762048 is a wasteful number, since it uses less digits than its factorization.

1314762048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134304 (or 134291 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1314762048 is about 36259.6476541072. The cubic root of 1314762048 is about 1095.5084196818.

The spelling of 1314762048 in words is "one billion, three hundred fourteen million, seven hundred sixty-two thousand, forty-eight".