89448846400 has 63 divisors (see below), whose sum is σ = 220129508559. Its totient is φ = 35774753280.

The previous prime is 89448846359. The next prime is 89448846419. The reversal of 89448846400 is 464884498.

The square root of 89448846400 is 299080.

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 15882048576 + 73566797824 = 126024^2 + 271232^2 .

It is a super-2 number, since 2×89448846400² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11959462 + ... + 11966938.

Almost surely, 2^89448846400 is an apocalyptic number.

89448846400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89448846400 is the 299080-th square number.

It is an amenable number.

89448846400 is an abundant number, since it is smaller than the sum of its proper divisors (130680662159).

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

89448846400 is an frugal number, since it uses more digits than its factorization.

89448846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14976 (or 7484 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 89448846400 in words is "eighty-nine billion, four hundred forty-eight million, eight hundred forty-six thousand, four hundred".