1002225915684 has 216 divisors, whose sum is σ = 3033274608000. Its totient is φ = 278088370560.

The previous prime is 1002225915671. The next prime is 1002225915703. The reversal of 1002225915684 is 4865195222001.

1002225915684 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 2 + 591 + 56 + 8 + 4 = 666.

1002225915684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8441767 + ... + 8559665.

It is an arithmetic number, because the mean of its divisors is an integer number (14042938000).

Almost surely, 2^{1002225915684} is an apocalyptic number.

1002225915684 is a gapful number since it is divisible by the number (14) 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 1002225915684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516637304000).

1002225915684 is an abundant number, since it is smaller than the sum of its proper divisors (2031048692316).

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

1002225915684 is a wasteful number, since it uses less digits than its factorization.

1002225915684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118063 (or 118051 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1002225915684 in words is "one trillion, two billion, two hundred twenty-five million, nine hundred fifteen thousand, six hundred eighty-four".