89418940900 has 81 divisors (see below), whose sum is σ = 206241831579. Its totient is φ = 33644463360.

The previous prime is 89418940873. The next prime is 89418940901. The reversal of 89418940900 is 904981498.

It is a happy number.

The square root of 89418940900 is 299030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2091598756 + 87327342144 = 45734^2 + 295512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89418940901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50834221 + ... + 50835979.

Almost surely, 2^89418940900 is an apocalyptic number.

89418940900 is the 299030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89418940900

89418940900 is an abundant number, since it is smaller than the sum of its proper divisors (116822890679).

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

89418940900 is a wasteful number, since it uses less digits than its factorization.

89418940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

It can be divided in two parts, 894189 and 40900, that added together give a square (935089 = 967²).

The spelling of 89418940900 in words is "eighty-nine billion, four hundred eighteen million, nine hundred forty thousand, nine hundred".