4167322848 has 288 divisors, whose sum is σ = 13205529792. Its totient is φ = 1238630400.

The previous prime is 4167322799. The next prime is 4167322853. The reversal of 4167322848 is 8482237614.

It is a happy number.

4167322848 is a `hidden beast` number, since 416 + 7 + 3 + 228 + 4 + 8 = 666.

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

It is a super-3 number, since 3×4167322848³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16215136 + ... + 16215392.

It is an arithmetic number, because the mean of its divisors is an integer number (45852534).

Almost surely, 2^4167322848 is an apocalyptic number.

4167322848 is a gapful number since it is divisible by the number (48) 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 4167322848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602764896).

4167322848 is an abundant number, since it is smaller than the sum of its proper divisors (9038206944).

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

4167322848 is a wasteful number, since it uses less digits than its factorization.

4167322848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 407 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 4167322848 is about 64554.8049954455. The cubic root of 4167322848 is about 1609.2334413904.

The spelling of 4167322848 in words is "four billion, one hundred sixty-seven million, three hundred twenty-two thousand, eight hundred forty-eight".