8219845746 has 144 divisors (see below), whose sum is σ = 22012341624. Its totient is φ = 2202697728.

The previous prime is 8219845717. The next prime is 8219845747. The reversal of 8219845746 is 6475489128.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6171830721 + 2048015025 = 78561^2 + 45255^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8219845692 and 8219845701.

It is not an unprimeable number, because it can be changed into a prime (8219845747) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5292106 + ... + 5293658.

Almost surely, 2^8219845746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8219845746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006170812).

8219845746 is an abundant number, since it is smaller than the sum of its proper divisors (13792495878).

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

8219845746 is a wasteful number, since it uses less digits than its factorization.

8219845746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8219845746 is about 90663.3649607161. The cubic root of 8219845746 is about 2018.1551749665.

The spelling of 8219845746 in words is "eight billion, two hundred nineteen million, eight hundred forty-five thousand, seven hundred forty-six".