4456684125 has 64 divisors (see below), whose sum is σ = 8598320640. Its totient is φ = 2273515200.

The previous prime is 4456684097. The next prime is 4456684139. The reversal of 4456684125 is 5214866544.

It is a happy number.

4456684125 is a `hidden beast` number, since 4 + 4 + 566 + 84 + 1 + 2 + 5 = 666.

It is not a de Polignac number, because 4456684125 - 2⁹ = 4456683613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48919 + ... + 106331.

It is an arithmetic number, because the mean of its divisors is an integer number (134348760).

Almost surely, 2^4456684125 is an apocalyptic number.

4456684125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4456684125 is a deficient number, since it is larger than the sum of its proper divisors (4141636515).

4456684125 is a wasteful number, since it uses less digits than its factorization.

4456684125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57460 (or 57444 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 4456684125 is about 66758.4011567084. The cubic root of 4456684125 is about 1645.6492819164.

The spelling of 4456684125 in words is "four billion, four hundred fifty-six million, six hundred eighty-four thousand, one hundred twenty-five".