90016200729 has 135 divisors (see below), whose sum is σ = 165303404253. Its totient is φ = 47178645696.

The previous prime is 90016200671. The next prime is 90016200733. The reversal of 90016200729 is 92700261009.

The square root of 90016200729 is 300027.

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

90016200729 is a `hidden beast` number, since 9 + 0 + 0 + 1 + 620 + 0 + 7 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29026959129 + 60989241600 = 170373^2 + 246960^2 .

It is not a de Polignac number, because 90016200729 - 2¹³ = 90016192537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90016200693 and 90016200702.

It is not an unprimeable number, because it can be changed into a prime (90016200779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 573351519 + ... + 573351675.

Almost surely, 2^90016200729 is an apocalyptic number.

90016200729 is the 300027-th square number.

90016200729 is the 150014-th centered octagonal number.

It is an amenable number.

90016200729 is a deficient number, since it is larger than the sum of its proper divisors (75287203524).

90016200729 is an equidigital number, since it uses as much as digits as its factorization.

90016200729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 90016200729 by its sum of digits (36), we get a square (3240583226244 = 1800162²).

The spelling of 90016200729 in words is "ninety billion, sixteen million, two hundred thousand, seven hundred twenty-nine".