4922872416 has 648 divisors, whose sum is σ = 18970391160. Its totient is φ = 1237420800.

The previous prime is 4922872379. The next prime is 4922872417. The reversal of 4922872416 is 6142782294.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4922872416 is a `hidden beast` number, since 4 + 9 + 228 + 7 + 2 + 416 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

Its product of digits (387072) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4922872417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 158802321 + ... + 158802351.

It is an arithmetic number, because the mean of its divisors is an integer number (29275295).

Almost surely, 2^4922872416 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 4922872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485195580).

4922872416 is an abundant number, since it is smaller than the sum of its proper divisors (14047518744).

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

4922872416 is a wasteful number, since it uses less digits than its factorization.

4922872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 54 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4922872416 is about 70163.1841922814. The cubic root of 4922872416 is about 1701.1379251063.

The spelling of 4922872416 in words is "four billion, nine hundred twenty-two million, eight hundred seventy-two thousand, four hundred sixteen".