89462718136512 has 1344 divisors, whose sum is σ = 325033648128000. Its totient is φ = 23991970867200.

The previous prime is 89462718136481. The next prime is 89462718136577. The reversal of 89462718136512 is 21563181726498.

It is a happy number.

89462718136512 is a `hidden beast` number, since 8 + 9 + 4 + 6 + 2 + 7 + 1 + 81 + 36 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×89462718136512² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89462718136512.

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 191 ways as a sum of consecutive naturals, for example, 110311612587 + ... + 110311613397.

It is an arithmetic number, because the mean of its divisors is an integer number (241840512000).

Almost surely, 2^{89462718136512} 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 89462718136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162516824064000).

89462718136512 is an abundant number, since it is smaller than the sum of its proper divisors (235570929991488).

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

89462718136512 is a wasteful number, since it uses less digits than its factorization.

89462718136512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1392 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 89462718136512 in words is "eighty-nine trillion, four hundred sixty-two billion, seven hundred eighteen million, one hundred thirty-six thousand, five hundred twelve".