89933348736 has 1280 divisors, whose sum is σ = 361373760000. Its totient is φ = 22129873920.

The previous prime is 89933348723. The next prime is 89933348783. The reversal of 89933348736 is 63784333998.

89933348736 is a `hidden beast` number, since 8 + 9 + 93 + 33 + 487 + 36 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (70543872) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4733334135 + ... + 4733334153.

It is an arithmetic number, because the mean of its divisors is an integer number (282323250).

Almost surely, 2^89933348736 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 89933348736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180686880000).

89933348736 is an abundant number, since it is smaller than the sum of its proper divisors (271440411264).

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

89933348736 is an equidigital number, since it uses as much as digits as its factorization.

89933348736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 89933348736 in words is "eighty-nine billion, nine hundred thirty-three million, three hundred forty-eight thousand, seven hundred thirty-six".