1364845792200 has 1152 divisors, whose sum is σ = 5221735787520. Its totient is φ = 291751116800.

The previous prime is 1364845792187. The next prime is 1364845792249. The reversal of 1364845792200 is 22975484631.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2325120307 + ... + 2325120893.

It is an arithmetic number, because the mean of its divisors is an integer number (4532756760).

It is a 1-persistent number, because it is pandigital, but 2⋅1364845792200 = 2729691584400 is not.

Almost surely, 2^{1364845792200} is an apocalyptic number.

1364845792200 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 1364845792200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610867893760).

1364845792200 is an abundant number, since it is smaller than the sum of its proper divisors (3856889995320).

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

1364845792200 is a wasteful number, since it uses less digits than its factorization.

1364845792200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1364845792200 in words is "one trillion, three hundred sixty-four billion, eight hundred forty-five million, seven hundred ninety-two thousand, two hundred".