89405234352 has 320 divisors, whose sum is σ = 303400581120. Its totient is φ = 24675840000.

The previous prime is 89405234341. The next prime is 89405234353. The reversal of 89405234352 is 25343250498.

89405234352 is a `hidden beast` number, since 8 + 9 + 405 + 234 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 89405234298 and 89405234307.

It is not an unprimeable number, because it can be changed into a prime (89405234353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12766852 + ... + 12773852.

It is an arithmetic number, because the mean of its divisors is an integer number (948126816).

Almost surely, 2^89405234352 is an apocalyptic number.

89405234352 is a gapful number since it is divisible by the number (82) 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 89405234352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151700290560).

89405234352 is an abundant number, since it is smaller than the sum of its proper divisors (213995346768).

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

89405234352 is a wasteful number, since it uses less digits than its factorization.

89405234352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7169 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 89405234352 in words is "eighty-nine billion, four hundred five million, two hundred thirty-four thousand, three hundred fifty-two".