8493814800 has 90 divisors (see below), whose sum is σ = 29475909242. Its totient is φ = 2265016320.

The previous prime is 8493814793. The next prime is 8493814801. The reversal of 8493814800 is 84183948.

8493814800 is a `hidden beast` number, since 8 + 4 + 93 + 81 + 480 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 912281616 + 7581533184 = 30204^2 + 87072^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8493814801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1176097 + ... + 1183296.

Almost surely, 2^8493814800 is an apocalyptic number.

8493814800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8493814800 is an abundant number, since it is smaller than the sum of its proper divisors (20982094442).

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

8493814800 is a wasteful number, since it uses less digits than its factorization.

8493814800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359417 (or 2359403 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8493814800 is about 92161.8945117775. The cubic root of 8493814800 is about 2040.3324141122.

The spelling of 8493814800 in words is "eight billion, four hundred ninety-three million, eight hundred fourteen thousand, eight hundred".