4621114111264 has 96 divisors (see below), whose sum is σ = 10594763141760. Its totient is φ = 1942912438272.

The previous prime is 4621114111261. The next prime is 4621114111277.

4621114111264 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4621114111261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217116367 + ... + 217137649.

It is an arithmetic number, because the mean of its divisors is an integer number (110362116060).

Almost surely, 2^{4621114111264} 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 4621114111264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297381570880).

4621114111264 is an abundant number, since it is smaller than the sum of its proper divisors (5973649030496).

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

4621114111264 is a wasteful number, since it uses less digits than its factorization.

4621114111264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39642 (or 39634 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The spelling of 4621114111264 in words is "four trillion, six hundred twenty-one billion, one hundred fourteen million, one hundred eleven thousand, two hundred sixty-four".