90529376161 has 27 divisors (see below), whose sum is σ = 107466658803. Its totient is φ = 76038646320.

The previous prime is 90529376117. The next prime is 90529376219. The reversal of 90529376161 is 16167392509.

The square root of 90529376161 is 300881.

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., 65262366225 + 25267009936 = 255465^2 + 158956^2 .

It is not a de Polignac number, because 90529376161 - 2¹³ = 90529367969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (90529376111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 111626446 + ... + 111627256.

Almost surely, 2^90529376161 is an apocalyptic number.

90529376161 is the 300881-st square number.

90529376161 is the 150441-st centered octagonal number.

It is an amenable number.

90529376161 is a deficient number, since it is larger than the sum of its proper divisors (16937282642).

90529376161 is an frugal number, since it uses more digits than its factorization.

90529376161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 90529376161 by its sum of digits (49), we get a square (4435939431889 = 2106167²).

90529376161 divided by its sum of digits (49) gives a square (1847538289 = 42983²).

The spelling of 90529376161 in words is "ninety billion, five hundred twenty-nine million, three hundred seventy-six thousand, one hundred sixty-one".