4993293312 has 528 divisors, whose sum is σ = 18163604160. Its totient is φ = 1288175616.

The previous prime is 4993293311. The next prime is 4993293313. The reversal of 4993293312 is 2133923994.

4993293312 is a `hidden beast` number, since 4 + 9 + 9 + 329 + 3 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (4993293311) and next prime (4993293313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993293311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31804338 + ... + 31804494.

Almost surely, 2^4993293312 is an apocalyptic number.

4993293312 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 4993293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081802080).

4993293312 is an abundant number, since it is smaller than the sum of its proper divisors (13170310848).

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

4993293312 is a wasteful number, since it uses less digits than its factorization.

4993293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 215 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 4993293312 is about 70663.2387596266. The cubic root of 4993293312 is about 1709.2110529036.

The spelling of 4993293312 in words is "four billion, nine hundred ninety-three million, two hundred ninety-three thousand, three hundred twelve".