4706013312 has 864 divisors, whose sum is σ = 18999047340. Its totient is φ = 1107025920.

The previous prime is 4706013281. The next prime is 4706013317. The reversal of 4706013312 is 2133106074.

4706013312 is a `hidden beast` number, since 47 + 0 + 601 + 3 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4675277376 + 30735936 = 68376^2 + 5544^2 .

It is a super-2 number, since 2×4706013312² = 44293122585442418688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4706013317) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 88792678 + ... + 88792730.

Almost surely, 2^4706013312 is an apocalyptic number.

4706013312 is a gapful number since it is divisible by the number (42) 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 4706013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499523670).

4706013312 is an abundant number, since it is smaller than the sum of its proper divisors (14293034028).

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

4706013312 is a wasteful number, since it uses less digits than its factorization.

4706013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4706013312 is about 68600.3885703281. The cubic root of 4706013312 is about 1675.7827557935.

Adding to 4706013312 its reverse (2133106074), we get a palindrome (6839119386).

The spelling of 4706013312 in words is "four billion, seven hundred six million, thirteen thousand, three hundred twelve".