1314765648000 has 2048 divisors, whose sum is σ = 5957452800000. Its totient is φ = 284091494400.

The previous prime is 1314765647983. The next prime is 1314765648037. The reversal of 1314765648000 is 8465674131.

1314765648000 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 6 + 564 + 80 + 0 + 0 = 666.

It is a super-3 number, since 3×1314765648000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2815343767 + ... + 2815344233.

It is an arithmetic number, because the mean of its divisors is an integer number (2908912500).

Almost surely, 2^{1314765648000} is an apocalyptic number.

1314765648000 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 1314765648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978726400000).

1314765648000 is an abundant number, since it is smaller than the sum of its proper divisors (4642687152000).

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

1314765648000 is an equidigital number, since it uses as much as digits as its factorization.

1314765648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1314765648000 in words is "one trillion, three hundred fourteen billion, seven hundred sixty-five million, six hundred forty-eight thousand".