89451648000 has 1408 divisors, whose sum is σ = 390555809280. Its totient is φ = 19906560000.

The previous prime is 89451647947. The next prime is 89451648049. The reversal of 89451648000 is 84615498.

89451648000 is a `hidden beast` number, since 8 + 94 + 516 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494207910 + ... + 494208090.

Almost surely, 2^89451648000 is an apocalyptic number.

89451648000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89451648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195277904640).

89451648000 is an abundant number, since it is smaller than the sum of its proper divisors (301104161280).

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

89451648000 is a wasteful number, since it uses less digits than its factorization.

89451648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 89451648000 in words is "eighty-nine billion, four hundred fifty-one million, six hundred forty-eight thousand".