4806225864 has 192 divisors, whose sum is σ = 15431270400. Its totient is φ = 1335139200.

The previous prime is 4806225859. The next prime is 4806225869. The reversal of 4806225864 is 4685226084.

4806225864 is a `hidden beast` number, since 4 + 8 + 0 + 62 + 2 + 586 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4806225859) and next prime (4806225869).

It is a super-3 number, since 3×4806225864³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4806225869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461337 + ... + 471639.

It is an arithmetic number, because the mean of its divisors is an integer number (80371200).

Almost surely, 2^4806225864 is an apocalyptic number.

4806225864 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 4806225864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715635200).

4806225864 is an abundant number, since it is smaller than the sum of its proper divisors (10625044536).

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

4806225864 is a wasteful number, since it uses less digits than its factorization.

4806225864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4806225864 is about 69326.9490458076. The cubic root of 4806225864 is about 1687.5943345453.

The spelling of 4806225864 in words is "four billion, eight hundred six million, two hundred twenty-five thousand, eight hundred sixty-four".