1361243971584 has 1344 divisors, whose sum is σ = 5002345900800. Its totient is φ = 364157337600.

The previous prime is 1361243971573. The next prime is 1361243971631. The reversal of 1361243971584 is 4851793421631.

1361243971584 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 24 + 39 + 7 + 1 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 1361243971584.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19172450269 + ... + 19172450339.

Almost surely, 2^{1361243971584} is an apocalyptic number.

1361243971584 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 1361243971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501172950400).

1361243971584 is an abundant number, since it is smaller than the sum of its proper divisors (3641101929216).

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

1361243971584 is an equidigital number, since it uses as much as digits as its factorization.

1361243971584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 173 counting only the distinct ones).

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

The spelling of 1361243971584 in words is "one trillion, three hundred sixty-one billion, two hundred forty-three million, nine hundred seventy-one thousand, five hundred eighty-four".