3002125845664 has 96 divisors (see below), whose sum is σ = 6788608263360. Its totient is φ = 1292494694400.

The previous prime is 3002125845583. The next prime is 3002125845689. The reversal of 3002125845664 is 4665485212003.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 31606884 + ... + 31701724.

It is an arithmetic number, because the mean of its divisors is an integer number (70714669410).

Almost surely, 2^{3002125845664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002125845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394304131680).

3002125845664 is an abundant number, since it is smaller than the sum of its proper divisors (3786482417696).

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

3002125845664 is a wasteful number, since it uses less digits than its factorization.

3002125845664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99614 (or 99606 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 3002125845664 in words is "three trillion, two billion, one hundred twenty-five million, eight hundred forty-five thousand, six hundred sixty-four".