4314148224 has 64 divisors (see below), whose sum is σ = 11630562240. Its totient is φ = 1416577536.

The previous prime is 4314148211. The next prime is 4314148261. The reversal of 4314148224 is 4228414134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4314148224² = 37223749797284708352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58114 + ... + 109569.

It is an arithmetic number, because the mean of its divisors is an integer number (181727535).

Almost surely, 2^4314148224 is an apocalyptic number.

It is an amenable number.

4314148224 is an abundant number, since it is smaller than the sum of its proper divisors (7316414016).

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

4314148224 is a wasteful number, since it uses less digits than its factorization.

4314148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167767 (or 167755 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 4314148224 is about 65682.1758470287. The cubic root of 4314148224 is about 1627.9148597080.

The spelling of 4314148224 in words is "four billion, three hundred fourteen million, one hundred forty-eight thousand, two hundred twenty-four".