4167598848 has 144 divisors (see below), whose sum is σ = 12749458176. Its totient is φ = 1183887360.

The previous prime is 4167598847. The next prime is 4167598849. The reversal of 4167598848 is 8488957614.

It is an interprime number because it is at equal distance from previous prime (4167598847) and next prime (4167598849).

It is a junction number, because it is equal to n+sod(n) for n = 4167598791 and 4167598800.

It is not an unprimeable number, because it can be changed into a prime (4167598843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970915 + ... + 975197.

It is an arithmetic number, because the mean of its divisors is an integer number (88537904).

Almost surely, 2^4167598848 is an apocalyptic number.

4167598848 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 4167598848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374729088).

4167598848 is an abundant number, since it is smaller than the sum of its proper divisors (8581859328).

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

4167598848 is a wasteful number, since it uses less digits than its factorization.

4167598848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4476 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 60.

The square root of 4167598848 is about 64556.9426785377. The cubic root of 4167598848 is about 1609.2689668857.

The spelling of 4167598848 in words is "four billion, one hundred sixty-seven million, five hundred ninety-eight thousand, eight hundred forty-eight".