89010337451841 has 63 divisors (see below), whose sum is σ = 144515231842899. Its totient is φ = 54773554419792.

The previous prime is 89010337451803. The next prime is 89010337451843. The reversal of 89010337451841 is 14815473301098.

The square root of 89010337451841 is 9434529.

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

89010337451841 is a `hidden beast` number, since 8 + 9 + 0 + 10 + 3 + 3 + 74 + 518 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13167209682225 + 75843127769616 = 3628665^2 + 8708796^2 .

It is not a de Polignac number, because 89010337451841 - 2²³ = 89010329063233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89010337451843) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3311506240 + ... + 3311533118.

Almost surely, 2^{89010337451841} is an apocalyptic number.

89010337451841 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

89010337451841 is the 9434529-th square number.

89010337451841 is the 4717265-th centered octagonal number.

It is an amenable number.

89010337451841 is a deficient number, since it is larger than the sum of its proper divisors (55504894391058).

89010337451841 is an frugal number, since it uses more digits than its factorization.

89010337451841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53802 (or 26895 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 89010337451841 in words is "eighty-nine trillion, ten billion, three hundred thirty-seven million, four hundred fifty-one thousand, eight hundred forty-one".