4685445864 has 256 divisors, whose sum is σ = 14708736000. Its totient is φ = 1369509120.

The previous prime is 4685445857. The next prime is 4685445887.

4685445864 is a `hidden beast` number, since 4 + 6 + 8 + 54 + 4 + 586 + 4 = 666.

4685445864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4685445864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19604257 + ... + 19604495.

It is an arithmetic number, because the mean of its divisors is an integer number (57456000).

Almost surely, 2^4685445864 is an apocalyptic number.

4685445864 is a gapful number since it is divisible by the number (44) 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 4685445864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368000).

4685445864 is an abundant number, since it is smaller than the sum of its proper divisors (10023290136).

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

4685445864 is a wasteful number, since it uses less digits than its factorization.

4685445864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 515 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 4685445864 is about 68450.3167560239. The cubic root of 4685445864 is about 1673.3378761413.

The spelling of 4685445864 in words is "four billion, six hundred eighty-five million, four hundred forty-five thousand, eight hundred sixty-four".