1002845727312 has 640 divisors, whose sum is σ = 3453978931200. Its totient is φ = 245686763520.

The previous prime is 1002845727293. The next prime is 1002845727371. The reversal of 1002845727312 is 2137275482001.

It is a happy number.

1002845727312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99296439 + ... + 99306537.

It is an arithmetic number, because the mean of its divisors is an integer number (5396842080).

Almost surely, 2^{1002845727312} is an apocalyptic number.

1002845727312 is a gapful number since it is divisible by the number (12) 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 1002845727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726989465600).

1002845727312 is an abundant number, since it is smaller than the sum of its proper divisors (2451133203888).

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

1002845727312 is a wasteful number, since it uses less digits than its factorization.

1002845727312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 1002845727312 in words is "one trillion, two billion, eight hundred forty-five million, seven hundred twenty-seven thousand, three hundred twelve".