1314748800 has 192 divisors, whose sum is σ = 4811931600. Its totient is φ = 350576640.

The previous prime is 1314748783. The next prime is 1314748817. The reversal of 1314748800 is 88474131.

1314748800 is a `hidden beast` number, since 131 + 47 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1314748783) and next prime (1314748817).

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 78792 + ... + 94008.

Almost surely, 2^1314748800 is an apocalyptic number.

1314748800 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 1314748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405965800).

1314748800 is an abundant number, since it is smaller than the sum of its proper divisors (3497182800).

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

1314748800 is a wasteful number, since it uses less digits than its factorization.

1314748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15227 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1314748800 is about 36259.4649712320. The cubic root of 1314748800 is about 1095.5047400948.

The spelling of 1314748800 in words is "one billion, three hundred fourteen million, seven hundred forty-eight thousand, eight hundred".