4808312964 has 243 divisors, whose sum is σ = 15431485797. Its totient is φ = 1258141248.

The previous prime is 4808312947. The next prime is 4808312969. The reversal of 4808312964 is 4692138084.

It is a happy number.

The square root of 4808312964 is 69342.

It is a perfect power (a square), and thus also a powerful number.

4808312964 is a `hidden beast` number, since 480 + 83 + 1 + 2 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 711288900 + 4097024064 = 26670^2 + 64008^2 .

It is a super-3 number, since 3×4808312964³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4808312969) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37860669 + ... + 37860795.

Almost surely, 2^4808312964 is an apocalyptic number.

4808312964 is the 69342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4808312964

4808312964 is an abundant number, since it is smaller than the sum of its proper divisors (10623172833).

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

4808312964 is a wasteful number, since it uses less digits than its factorization.

4808312964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The cubic root of 4808312964 is about 1687.8385780553.

The spelling of 4808312964 in words is "four billion, eight hundred eight million, three hundred twelve thousand, nine hundred sixty-four".