89335464641536 has 99 divisors (see below), whose sum is σ = 182860001614101. Its totient is φ = 43622596276224.

The previous prime is 89335464641531. The next prime is 89335464641551. The reversal of 89335464641536 is 63514646453398.

It is a happy number.

The square root of 89335464641536 is 9451744.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1270002779136 + 88065461862400 = 1126944^2 + 9384320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89335464641531) 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 8 ways as a sum of consecutive naturals, for example, 13005596310 + ... + 13005603178.

Almost surely, 2^{89335464641536} is an apocalyptic number.

89335464641536 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

89335464641536 is the 9451744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89335464641536

89335464641536 is an abundant number, since it is smaller than the sum of its proper divisors (93524536972565).

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

89335464641536 is an frugal number, since it uses more digits than its factorization.

89335464641536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13844 (or 6914 counting only the distinct ones).

The product of its digits is 671846400, while the sum is 67.

The spelling of 89335464641536 in words is "eighty-nine trillion, three hundred thirty-five billion, four hundred sixty-four million, six hundred forty-one thousand, five hundred thirty-six".