1284157314 has 48 divisors (see below), whose sum is σ = 3147711840. Its totient is φ = 389136960.

The previous prime is 1284157283. The next prime is 1284157331. The reversal of 1284157314 is 4137514821.

1284157314 is a `hidden beast` number, since 1 + 2 + 84 + 1 + 573 + 1 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114759 + ... + 125450.

It is an arithmetic number, because the mean of its divisors is an integer number (65577330).

Almost surely, 2^1284157314 is an apocalyptic number.

1284157314 is an abundant number, since it is smaller than the sum of its proper divisors (1863554526).

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

1284157314 is a wasteful number, since it uses less digits than its factorization.

1284157314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240237 (or 240225 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1284157314 is about 35835.1407699202. The cubic root of 1284157314 is about 1086.9412644685.

The spelling of 1284157314 in words is "one billion, two hundred eighty-four million, one hundred fifty-seven thousand, three hundred fourteen".