1364835225600 has 1560 divisors, whose sum is σ = 6306130066368. Its totient is φ = 283469414400.

The previous prime is 1364835225577. The next prime is 1364835225631. The reversal of 1364835225600 is 65225384631.

1364835225600 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 8 + 35 + 2 + 2 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638667732 + ... + 638669868.

Almost surely, 2^{1364835225600} is an apocalyptic number.

1364835225600 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 1364835225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153065033184).

1364835225600 is an abundant number, since it is smaller than the sum of its proper divisors (4941294840768).

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

1364835225600 is a wasteful number, since it uses less digits than its factorization.

1364835225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1364835225600 in words is "one trillion, three hundred sixty-four billion, eight hundred thirty-five million, two hundred twenty-five thousand, six hundred".