4265864685624 has 128 divisors (see below), whose sum is σ = 11015201664000. Its totient is φ = 1375670951424.

The previous prime is 4265864685619. The next prime is 4265864685629.

4265864685624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4265864685619) and next prime (4265864685629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265864685629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144939742 + ... + 144969170.

It is an arithmetic number, because the mean of its divisors is an integer number (86056263000).

Almost surely, 2^{4265864685624} 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 4265864685624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507600832000).

4265864685624 is an abundant number, since it is smaller than the sum of its proper divisors (6749336978376).

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

4265864685624 is a wasteful number, since it uses less digits than its factorization.

4265864685624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30397 (or 30393 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 4265864685624 in words is "four trillion, two hundred sixty-five billion, eight hundred sixty-four million, six hundred eighty-five thousand, six hundred twenty-four".