846465564648 has 64 divisors (see below), whose sum is σ = 2430044697600. Its totient is φ = 243004466880.

The previous prime is 846465564577. The next prime is 846465564671.

It is a happy number.

846465564648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 84371536 + ... + 84381567.

It is an arithmetic number, because the mean of its divisors is an integer number (37969448400).

Almost surely, 2^846465564648 is an apocalyptic number.

846465564648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

846465564648 is an abundant number, since it is smaller than the sum of its proper divisors (1583579132952).

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

846465564648 is a wasteful number, since it uses less digits than its factorization.

846465564648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168753142 (or 168753138 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 846465564648 in words is "eight hundred forty-six billion, four hundred sixty-five million, five hundred sixty-four thousand, six hundred forty-eight".