1314248000 has 112 divisors (see below), whose sum is σ = 3505376784. Its totient is φ = 485222400.

The previous prime is 1314247933. The next prime is 1314248003. The reversal of 1314248000 is 8424131.

It can be written as a sum of positive squares in 8 ways, for example, as 972441856 + 341806144 = 31184^2 + 18488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314248003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97682 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (31298007).

Almost surely, 2^1314248000 is an apocalyptic number.

1314248000 is a gapful number since it is divisible by the number (10) 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 1314248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752688392).

1314248000 is an abundant number, since it is smaller than the sum of its proper divisors (2191128784).

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

1314248000 is a wasteful number, since it uses less digits than its factorization.

1314248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677 (or 12657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1314248000 is about 36252.5585303989. The cubic root of 1314248000 is about 1095.3656264613.

The spelling of 1314248000 in words is "one billion, three hundred fourteen million, two hundred forty-eight thousand".