1312465563360 has 960 divisors, whose sum is σ = 5458702233600. Its totient is φ = 290781093888.

The previous prime is 1312465563341. The next prime is 1312465563401. The reversal of 1312465563360 is 633655642131.

1312465563360 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 6 + 5 + 5 + 633 + 6 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 390729361 + ... + 390732719.

It is an arithmetic number, because the mean of its divisors is an integer number (5686148160).

Almost surely, 2^{1312465563360} is an apocalyptic number.

1312465563360 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 1312465563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729351116800).

1312465563360 is an abundant number, since it is smaller than the sum of its proper divisors (4146236670240).

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

1312465563360 is a wasteful number, since it uses less digits than its factorization.

1312465563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 1312465563360 in words is "one trillion, three hundred twelve billion, four hundred sixty-five million, five hundred sixty-three thousand, three hundred sixty".