89303067000900 has 729 divisors, whose sum is σ = 301588583431863. Its totient is φ = 22099462156800.

The previous prime is 89303067000883. The next prime is 89303067000923. The reversal of 89303067000900 is 900076030398.

It is a happy number.

The square root of 89303067000900 is 9450030.

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 127076564484 + 89175990436416 = 356478^2 + 9443304^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 317804508760 + ... + 317804509040.

Almost surely, 2^{89303067000900} is an apocalyptic number.

89303067000900 is the 9450030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89303067000900

89303067000900 is an abundant number, since it is smaller than the sum of its proper divisors (212285516430963).

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

89303067000900 is a wasteful number, since it uses less digits than its factorization.

89303067000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 89303067000900 in words is "eighty-nine trillion, three hundred three billion, sixty-seven million, nine hundred", and thus it is an aban number.