90289923414201 has 45 divisors (see below), whose sum is σ = 156899403019029. Its totient is φ = 51593899875336.

The previous prime is 90289923414199. The next prime is 90289923414203. The reversal of 90289923414201 is 10241432998209.

It is a happy number.

The square root of 90289923414201 is 9502101.

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

90289923414201 is a `hidden beast` number, since 9 + 0 + 2 + 8 + 9 + 92 + 341 + 4 + 201 = 666.

90289923414201 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (90289923414199) and next prime (90289923414203).

It is not a de Polignac number, because 90289923414201 - 2¹ = 90289923414199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90289923414203) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 598556950 + ... + 598707776.

Almost surely, 2^{90289923414201} is an apocalyptic number.

90289923414201 is the 9502101-st square number.

90289923414201 is the 4751051-st centered octagonal number.

It is an amenable number.

90289923414201 is a deficient number, since it is larger than the sum of its proper divisors (66609479604828).

90289923414201 is an frugal number, since it uses more digits than its factorization.

90289923414201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301680 (or 150837 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 90289923414201 in words is "ninety trillion, two hundred eighty-nine billion, nine hundred twenty-three million, four hundred fourteen thousand, two hundred one".