8414446500 has 144 divisors (see below), whose sum is σ = 27699235200. Its totient is φ = 2146267200.

The previous prime is 8414446493. The next prime is 8414446559. The reversal of 8414446500 is 56444148.

It is a happy number.

8414446500 is a `hidden beast` number, since 8 + 4 + 144 + 4 + 6 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62851 + ... + 144149.

It is an arithmetic number, because the mean of its divisors is an integer number (192355800).

Almost surely, 2^8414446500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8414446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13849617600).

8414446500 is an abundant number, since it is smaller than the sum of its proper divisors (19284788700).

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

8414446500 is a wasteful number, since it uses less digits than its factorization.

8414446500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81347 (or 81332 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8414446500 is about 91730.2921613139. The cubic root of 8414446500 is about 2033.9573930274.

The spelling of 8414446500 in words is "eight billion, four hundred fourteen million, four hundred forty-six thousand, five hundred".