90719852941809 has 243 divisors, whose sum is σ = 166922768334699. Its totient is φ = 47318694696000.

The previous prime is 90719852941769. The next prime is 90719852941841. The reversal of 90719852941809 is 90814925891709.

The square root of 90719852941809 is 9524697.

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

90719852941809 is a `hidden beast` number, since 9 + 0 + 7 + 1 + 98 + 529 + 4 + 1 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13420096589025 + 77299756352784 = 3663345^2 + 8792028^2 .

It is not a de Polignac number, because 90719852941809 - 2⁹ = 90719852941297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90719852941859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 361433676934 + ... + 361433677184.

Almost surely, 2^{90719852941809} is an apocalyptic number.

90719852941809 is the 9524697-th square number.

90719852941809 is the 4762349-th centered octagonal number.

It is an amenable number.

90719852941809 is a deficient number, since it is larger than the sum of its proper divisors (76202915392890).

90719852941809 is a wasteful number, since it uses less digits than its factorization.

90719852941809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 90719852941809 in words is "ninety trillion, seven hundred nineteen billion, eight hundred fifty-two million, nine hundred forty-one thousand, eight hundred nine".