1645315795200 has 648 divisors, whose sum is σ = 6821079853504. Its totient is φ = 341880422400.

The previous prime is 1645315795169. The next prime is 1645315795223. The reversal of 1645315795200 is 25975135461.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1645315795200.

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 71 ways as a sum of consecutive naturals, for example, 16211814 + ... + 16312986.

Almost surely, 2^{1645315795200} is an apocalyptic number.

1645315795200 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 1645315795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410539926752).

1645315795200 is an abundant number, since it is smaller than the sum of its proper divisors (5175764058304).

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

1645315795200 is a wasteful number, since it uses less digits than its factorization.

1645315795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101231 (or 101201 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 1645315795200 in words is "one trillion, six hundred forty-five billion, three hundred fifteen million, seven hundred ninety-five thousand, two hundred".