4517970912 has 288 divisors, whose sum is σ = 16509981600. Its totient is φ = 1191407616.

The previous prime is 4517970911. The next prime is 4517970959. The reversal of 4517970912 is 2190797154.

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

It is a super-2 number, since 2×4517970912² = 40824122323356223488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4517970911) 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, 546264 + ... + 554472.

It is an arithmetic number, because the mean of its divisors is an integer number (57326325).

Almost surely, 2^4517970912 is an apocalyptic number.

4517970912 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 4517970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254990800).

4517970912 is an abundant number, since it is smaller than the sum of its proper divisors (11992010688).

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

4517970912 is a wasteful number, since it uses less digits than its factorization.

4517970912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8234 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The square root of 4517970912 is about 67215.8531300466. The cubic root of 4517970912 is about 1653.1584329091.

The spelling of 4517970912 in words is "four billion, five hundred seventeen million, nine hundred seventy thousand, nine hundred twelve".