3085573182664 has 128 divisors (see below), whose sum is σ = 7123363430400. Its totient is φ = 1224322767360.

The previous prime is 3085573182649. The next prime is 3085573182677. The reversal of 3085573182664 is 4662813755803.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3085573182599 and 3085573182608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6476577 + ... + 6936655.

It is an arithmetic number, because the mean of its divisors is an integer number (55651276800).

Almost surely, 2^{3085573182664} 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 3085573182664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561681715200).

3085573182664 is an abundant number, since it is smaller than the sum of its proper divisors (4037790247736).

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

3085573182664 is a wasteful number, since it uses less digits than its factorization.

3085573182664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460283 (or 460279 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 58.

The spelling of 3085573182664 in words is "three trillion, eighty-five billion, five hundred seventy-three million, one hundred eighty-two thousand, six hundred sixty-four".