73487190466089 has 27 divisors (see below), whose sum is σ = 106537736508229. Its totient is φ = 48812312895360.

The previous prime is 73487190466057. The next prime is 73487190466091. The reversal of 73487190466089 is 98066409178437.

The square root of 73487190466089 is 8572467.

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

73487190466089 is a `hidden beast` number, since 7 + 3 + 4 + 8 + 7 + 1 + 9 + 0 + 4 + 6 + 608 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30967922803689 + 42519267662400 = 5564883^2 + 6520680^2 .

It is not a de Polignac number, because 73487190466089 - 2⁵ = 73487190466057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73487190466099) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7226584597 + ... + 7226594765.

Almost surely, 2^{73487190466089} is an apocalyptic number.

73487190466089 is the 8572467-th square number.

73487190466089 is the 4286234-th centered octagonal number.

It is an amenable number.

73487190466089 is a deficient number, since it is larger than the sum of its proper divisors (33050546042140).

73487190466089 is an frugal number, since it uses more digits than its factorization.

73487190466089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20906 (or 10453 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 73487190466089 in words is "seventy-three trillion, four hundred eighty-seven billion, one hundred ninety million, four hundred sixty-six thousand, eighty-nine".