4623994993264 has 160 divisors (see below), whose sum is σ = 9624421944000. Its totient is φ = 2148451909632.

The previous prime is 4623994993217. The next prime is 4623994993273.

4623994993264 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4623994993193 and 4623994993202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273778932 + ... + 273795820.

It is an arithmetic number, because the mean of its divisors is an integer number (60152637150).

Almost surely, 2^{4623994993264} 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 4623994993264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812210972000).

4623994993264 is an abundant number, since it is smaller than the sum of its proper divisors (5000426950736).

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

4623994993264 is a wasteful number, since it uses less digits than its factorization.

4623994993264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17195 (or 17189 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 70.

The spelling of 4623994993264 in words is "four trillion, six hundred twenty-three billion, nine hundred ninety-four million, nine hundred ninety-three thousand, two hundred sixty-four".