1361733057792 has 864 divisors, whose sum is σ = 4519093662720. Its totient is φ = 407049338880.

The previous prime is 1361733057787. The next prime is 1361733057793. The reversal of 1361733057792 is 2977503371631.

1361733057792 is a `hidden beast` number, since 1 + 3 + 61 + 7 + 3 + 3 + 0 + 577 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (1361733057793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393203684 + ... + 2393204252.

It is an arithmetic number, because the mean of its divisors is an integer number (5230432480).

Almost surely, 2^{1361733057792} is an apocalyptic number.

1361733057792 is a gapful number since it is divisible by the number (12) 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 1361733057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259546831360).

1361733057792 is an abundant number, since it is smaller than the sum of its proper divisors (3157360604928).

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

1361733057792 is an equidigital number, since it uses as much as digits as its factorization.

1361733057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 1361733057792 in words is "one trillion, three hundred sixty-one billion, seven hundred thirty-three million, fifty-seven thousand, seven hundred ninety-two".