90033207347889 has 81 divisors (see below), whose sum is σ = 146246169441099. Its totient is φ = 55398902073840.

The previous prime is 90033207347843. The next prime is 90033207347903. The reversal of 90033207347889 is 98874370233009.

The square root of 90033207347889 is 9488583.

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

90033207347889 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 3 + 207 + 347 + 8 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13318521797025 + 76714685550864 = 3649455^2 + 8758692^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 90033207347889 - 2⁴¹ = 87834184092337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90033207347189) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9991473394 + ... + 9991482404.

Almost surely, 2^{90033207347889} is an apocalyptic number.

90033207347889 is the 9488583-rd square number.

90033207347889 is the 4744292-nd centered octagonal number.

It is an amenable number.

90033207347889 is a deficient number, since it is larger than the sum of its proper divisors (56212962093210).

90033207347889 is an frugal number, since it uses more digits than its factorization.

90033207347889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18072 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 90033207347889 in words is "ninety trillion, thirty-three billion, two hundred seven million, three hundred forty-seven thousand, eight hundred eighty-nine".