4851952416 has 288 divisors, whose sum is σ = 14822786160. Its totient is φ = 1502871552.

The previous prime is 4851952403. The next prime is 4851952453. The reversal of 4851952416 is 6142591584.

4851952416 is a `hidden beast` number, since 48 + 5 + 195 + 2 + 416 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1370480400 + 3481472016 = 37020^2 + 59004^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42937576 + ... + 42937688.

Almost surely, 2^4851952416 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 4851952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7411393080).

4851952416 is an abundant number, since it is smaller than the sum of its proper divisors (9970833744).

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

4851952416 is a wasteful number, since it uses less digits than its factorization.

4851952416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 4851952416 is about 69655.9575054424. The cubic root of 4851952416 is about 1692.9293889769.

The spelling of 4851952416 in words is "four billion, eight hundred fifty-one million, nine hundred fifty-two thousand, four hundred sixteen".