1304981290368 has 512 divisors, whose sum is σ = 4547339520000. Its totient is φ = 372824363520.

The previous prime is 1304981290363. The next prime is 1304981290381. The reversal of 1304981290368 is 8630921894031.

1304981290368 is a `hidden beast` number, since 1 + 3 + 0 + 498 + 1 + 2 + 90 + 3 + 68 = 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 (1304981290363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96011253 + ... + 96024843.

It is an arithmetic number, because the mean of its divisors is an integer number (8881522500).

Almost surely, 2^{1304981290368} is an apocalyptic number.

1304981290368 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 1304981290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273669760000).

1304981290368 is an abundant number, since it is smaller than the sum of its proper divisors (3242358229632).

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

1304981290368 is an frugal number, since it uses more digits than its factorization.

1304981290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13647 (or 13603 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1304981290368 in words is "one trillion, three hundred four billion, nine hundred eighty-one million, two hundred ninety thousand, three hundred sixty-eight".