89406253318144 has 405 divisors, whose sum is σ = 212695184150631. Its totient is φ = 37470964285440.

The previous prime is 89406253318133. The next prime is 89406253318177. The reversal of 89406253318144 is 44181335260498.

The square root of 89406253318144 is 9455488.

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 1367215718400 + 88039037599744 = 1169280^2 + 9382912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516799152042 + ... + 516799152214.

Almost surely, 2^{89406253318144} is an apocalyptic number.

89406253318144 is the 9455488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89406253318144

89406253318144 is an abundant number, since it is smaller than the sum of its proper divisors (123288930832487).

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

89406253318144 is an frugal number, since it uses more digits than its factorization.

89406253318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 89406253318144 in words is "eighty-nine trillion, four hundred six billion, two hundred fifty-three million, three hundred eighteen thousand, one hundred forty-four".