1002295539456 has 288 divisors, whose sum is σ = 2823443589120. Its totient is φ = 315154022400.

The previous prime is 1002295539403. The next prime is 1002295539461. The reversal of 1002295539456 is 6549355922001.

It is a junction number, because it is equal to n+sod(n) for n = 1002295539399 and 1002295539408.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 848683186 + ... + 848684366.

Almost surely, 2^{1002295539456} is an apocalyptic number.

1002295539456 is a gapful number since it is divisible by the number (16) 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 1002295539456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411721794560).

1002295539456 is an abundant number, since it is smaller than the sum of its proper divisors (1821148049664).

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

1002295539456 is a wasteful number, since it uses less digits than its factorization.

1002295539456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 1002295539456 in words is "one trillion, two billion, two hundred ninety-five million, five hundred thirty-nine thousand, four hundred fifty-six".