1363745610864 has 720 divisors, whose sum is σ = 4828494528000. Its totient is φ = 351721543680.

The previous prime is 1363745610809. The next prime is 1363745610947. The reversal of 1363745610864 is 4680165473631.

1363745610864 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 74 + 561 + 0 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1363745610864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2732956887 + ... + 2732957385.

It is an arithmetic number, because the mean of its divisors is an integer number (6706242400).

Almost surely, 2^{1363745610864} is an apocalyptic number.

1363745610864 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 1363745610864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414247264000).

1363745610864 is an abundant number, since it is smaller than the sum of its proper divisors (3464748917136).

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

1363745610864 is a wasteful number, since it uses less digits than its factorization.

1363745610864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1363745610864 in words is "one trillion, three hundred sixty-three billion, seven hundred forty-five million, six hundred ten thousand, eight hundred sixty-four".