1364683844160 has 1792 divisors, whose sum is σ = 6082501017600. Its totient is φ = 280419729408.

The previous prime is 1364683844149. The next prime is 1364683844269. The reversal of 1364683844160 is 614483864631.

1364683844160 is a `hidden beast` number, since 1 + 3 + 6 + 468 + 3 + 84 + 41 + 60 = 666.

It is a super-2 number, since 2×1364683844160² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1364683844097 and 1364683844106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7888345834 + ... + 7888346006.

It is an arithmetic number, because the mean of its divisors is an integer number (3394252800).

Almost surely, 2^{1364683844160} is an apocalyptic number.

1364683844160 is a gapful number since it is divisible by the number (10) 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 1364683844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041250508800).

1364683844160 is an abundant number, since it is smaller than the sum of its proper divisors (4717817173440).

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

1364683844160 is a wasteful number, since it uses less digits than its factorization.

1364683844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1364683844160 in words is "one trillion, three hundred sixty-four billion, six hundred eighty-three million, eight hundred forty-four thousand, one hundred sixty".