1002245130016 has 48 divisors (see below), whose sum is σ = 2165045904504. Its totient is φ = 453846841344.

The previous prime is 1002245130001. The next prime is 1002245130031. The reversal of 1002245130016 is 6100315422001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002245130001) and next prime (1002245130031).

It can be written as a sum of positive squares in 4 ways, for example, as 946456579600 + 55788550416 = 972860^2 + 236196^2 .

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 7 ways as a sum of consecutive naturals, for example, 22706661 + ... + 22750756.

Almost surely, 2^{1002245130016} is an apocalyptic number.

1002245130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1002245130016 is an abundant number, since it is smaller than the sum of its proper divisors (1162800774488).

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

1002245130016 is a wasteful number, since it uses less digits than its factorization.

1002245130016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45457493 (or 45457485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 1002245130016 in words is "one trillion, two billion, two hundred forty-five million, one hundred thirty thousand, sixteen".