1002251661216 has 96 divisors (see below), whose sum is σ = 2837867739840. Its totient is φ = 307886690304.

The previous prime is 1002251661199. The next prime is 1002251661239. The reversal of 1002251661216 is 6121661522001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123816 + ... + 1421208.

It is an arithmetic number, because the mean of its divisors is an integer number (29561122290).

Almost surely, 2^{1002251661216} is an apocalyptic number.

1002251661216 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 1002251661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418933869920).

1002251661216 is an abundant number, since it is smaller than the sum of its proper divisors (1835616078624).

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

1002251661216 is a wasteful number, since it uses less digits than its factorization.

1002251661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298038 (or 1298030 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 1002251661216 in words is "one trillion, two billion, two hundred fifty-one million, six hundred sixty-one thousand, two hundred sixteen".