846064460648 has 64 divisors (see below), whose sum is σ = 1763757072000. Its totient is φ = 377273376000.

The previous prime is 846064460639. The next prime is 846064460653.

846064460648 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×846064460648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 846064460593 and 846064460602.

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, 532133 + ... + 1405451.

It is an arithmetic number, because the mean of its divisors is an integer number (27558704250).

Almost surely, 2^846064460648 is an apocalyptic number.

846064460648 is a gapful number since it is divisible by the number (88) 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 846064460648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881878536000).

846064460648 is an abundant number, since it is smaller than the sum of its proper divisors (917692611352).

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

846064460648 is a wasteful number, since it uses less digits than its factorization.

846064460648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873546 (or 873542 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 56.

The spelling of 846064460648 in words is "eight hundred forty-six billion, sixty-four million, four hundred sixty thousand, six hundred forty-eight".