4645984895464 has 96 divisors (see below), whose sum is σ = 9669853992960. Its totient is φ = 2090989676160.

The previous prime is 4645984895413. The next prime is 4645984895483.

4645984895464 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61799242 + ... + 61874374.

It is an arithmetic number, because the mean of its divisors is an integer number (100727645760).

Almost surely, 2^{4645984895464} is an apocalyptic number.

4645984895464 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 4645984895464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834926996480).

4645984895464 is an abundant number, since it is smaller than the sum of its proper divisors (5023869097496).

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

4645984895464 is a wasteful number, since it uses less digits than its factorization.

4645984895464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75791 (or 75776 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 76.

The spelling of 4645984895464 in words is "four trillion, six hundred forty-five billion, nine hundred eighty-four million, eight hundred ninety-five thousand, four hundred sixty-four".