89141133312 has 480 divisors, whose sum is σ = 329410583040. Its totient is φ = 23144693760.

The previous prime is 89141133293. The next prime is 89141133313. The reversal of 89141133312 is 21333114198.

It is a super-2 number, since 2×89141133312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89141133313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34061028 + ... + 34063644.

It is an arithmetic number, because the mean of its divisors is an integer number (686272048).

Almost surely, 2^89141133312 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 89141133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164705291520).

89141133312 is an abundant number, since it is smaller than the sum of its proper divisors (240269449728).

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

89141133312 is a wasteful number, since it uses less digits than its factorization.

89141133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2640 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The spelling of 89141133312 in words is "eighty-nine billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred twelve".