89248243392 has 896 divisors, whose sum is σ = 352768204800. Its totient is φ = 21424435200.

The previous prime is 89248243391. The next prime is 89248243429. The reversal of 89248243392 is 29334284298.

89248243392 is a `hidden beast` number, since 8 + 9 + 2 + 4 + 8 + 243 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89248243391) by changing a digit.

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, 108706342 + ... + 108707162.

Almost surely, 2^89248243392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89248243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176384102400).

89248243392 is an abundant number, since it is smaller than the sum of its proper divisors (263519961408).

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

89248243392 is a wasteful number, since it uses less digits than its factorization.

89248243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 906 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

It can be divided in two parts, 892 and 48243392, that added together give a palindrome (48244284).

The spelling of 89248243392 in words is "eighty-nine billion, two hundred forty-eight million, two hundred forty-three thousand, three hundred ninety-two".