1313542899648 has 784 divisors, whose sum is σ = 4619630080000. Its totient is φ = 370190725632.

The previous prime is 1313542899629. The next prime is 1313542899661. The reversal of 1313542899648 is 8469982453131.

1313542899648 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 542 + 89 + 9 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1264237113 + ... + 1264238151.

Almost surely, 2^{1313542899648} is an apocalyptic number.

1313542899648 is a gapful number since it is divisible by the number (18) 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 1313542899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2309815040000).

1313542899648 is an abundant number, since it is smaller than the sum of its proper divisors (3306087180352).

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

1313542899648 is an frugal number, since it uses more digits than its factorization.

1313542899648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1130 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 1313542899648 in words is "one trillion, three hundred thirteen billion, five hundred forty-two million, eight hundred ninety-nine thousand, six hundred forty-eight".