1313917645824 has 880 divisors, whose sum is σ = 4639553994240. Its totient is φ = 362617896960.

The previous prime is 1313917645823. The next prime is 1313917645919. The reversal of 1313917645824 is 4285467193131.

1313917645824 is a `hidden beast` number, since 1 + 3 + 13 + 9 + 176 + 458 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313917645823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2428682994 + ... + 2428683534.

It is an arithmetic number, because the mean of its divisors is an integer number (5272220448).

Almost surely, 2^{1313917645824} is an apocalyptic number.

1313917645824 is a gapful number since it is divisible by the number (14) 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 1313917645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319776997120).

1313917645824 is an abundant number, since it is smaller than the sum of its proper divisors (3325636348416).

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

1313917645824 is an equidigital number, since it uses as much as digits as its factorization.

1313917645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 689 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1313917645824 in words is "one trillion, three hundred thirteen billion, nine hundred seventeen million, six hundred forty-five thousand, eight hundred twenty-four".