1258768314 has 48 divisors (see below), whose sum is σ = 2755334400. Its totient is φ = 415303200.

The previous prime is 1258768309. The next prime is 1258768319. The reversal of 1258768314 is 4138678521.

1258768314 is a `hidden beast` number, since 1 + 2 + 587 + 68 + 3 + 1 + 4 = 666.

1258768314 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1258768309) and next prime (1258768319).

It is a self number, because there is not a number n which added to its sum of digits gives 1258768314.

It is not an unprimeable number, because it can be changed into a prime (1258768319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947919 + ... + 949245.

It is an arithmetic number, because the mean of its divisors is an integer number (57402800).

Almost surely, 2^1258768314 is an apocalyptic number.

1258768314 is an abundant number, since it is smaller than the sum of its proper divisors (1496566086).

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

1258768314 is a wasteful number, since it uses less digits than its factorization.

1258768314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1832 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1258768314 is about 35479.1250455814. The cubic root of 1258768314 is about 1079.7302464148.

The spelling of 1258768314 in words is "one billion, two hundred fifty-eight million, seven hundred sixty-eight thousand, three hundred fourteen".