4624114264 has 128 divisors (see below), whose sum is σ = 11231654400. Its totient is φ = 1731824640.

The previous prime is 4624114259. The next prime is 4624114273.

4624114264 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5591019 + ... + 5591845.

It is an arithmetic number, because the mean of its divisors is an integer number (87747300).

Almost surely, 2^4624114264 is an apocalyptic number.

4624114264 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 4624114264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615827200).

4624114264 is an abundant number, since it is smaller than the sum of its proper divisors (6607540136).

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

4624114264 is a wasteful number, since it uses less digits than its factorization.

4624114264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1189 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4624114264 is about 68000.8401712802. The cubic root of 4624114264 is about 1666.0045597946.

The spelling of 4624114264 in words is "four billion, six hundred twenty-four million, one hundred fourteen thousand, two hundred sixty-four".