4906315584 has 224 divisors, whose sum is σ = 15709392000. Its totient is φ = 1495646208.

The previous prime is 4906315577. The next prime is 4906315591. The reversal of 4906315584 is 4855136094.

4906315584 is a `hidden beast` number, since 4 + 9 + 0 + 63 + 1 + 5 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (4906315577) and next prime (4906315591).

It is a super-2 number, since 2×4906315584² = 48143865219602522112, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 949552 + ... + 954704.

Almost surely, 2^4906315584 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 4906315584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854696000).

4906315584 is an abundant number, since it is smaller than the sum of its proper divisors (10803076416).

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

4906315584 is a wasteful number, since it uses less digits than its factorization.

4906315584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5222 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4906315584 is about 70045.0967877124. The cubic root of 4906315584 is about 1699.2286678428.

The spelling of 4906315584 in words is "four billion, nine hundred six million, three hundred fifteen thousand, five hundred eighty-four".