1365513397248 has 1584 divisors, whose sum is σ = 5144629136640. Its totient is φ = 318823464960.

The previous prime is 1365513397229. The next prime is 1365513397273. The reversal of 1365513397248 is 8427933155631.

It is a happy number.

Its product of digits (16329600) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17284979673 + ... + 17284979751.

Almost surely, 2^{1365513397248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1365513397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572314568320).

1365513397248 is an abundant number, since it is smaller than the sum of its proper divisors (3779115739392).

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

1365513397248 is a wasteful number, since it uses less digits than its factorization.

1365513397248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 188 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 57.

The spelling of 1365513397248 in words is "one trillion, three hundred sixty-five billion, five hundred thirteen million, three hundred ninety-seven thousand, two hundred forty-eight".