90575439854769 has 45 divisors (see below), whose sum is σ = 137643890188233. Its totient is φ = 59356863316728.

The previous prime is 90575439854761. The next prime is 90575439854807. The reversal of 90575439854769 is 96745893457509.

The square root of 90575439854769 is 9517113.

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

90575439854769 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 5 + 4 + 3 + 9 + 8 + 547 + 69 = 666.

It is not a de Polignac number, because 90575439854769 - 2³ = 90575439854761 is a prime.

It is a super-2 number, since 2×90575439854769² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (90575439854761) 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, 5053578042 + ... + 5053595964.

Almost surely, 2^{90575439854769} is an apocalyptic number.

90575439854769 is the 9517113-rd square number.

90575439854769 is the 4758557-th centered octagonal number.

It is an amenable number.

90575439854769 is a deficient number, since it is larger than the sum of its proper divisors (47068450333464).

90575439854769 is an frugal number, since it uses more digits than its factorization.

90575439854769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35976 (or 17985 counting only the distinct ones).

The product of its (nonzero) digits is 10287648000, while the sum is 81.

90575439854769 divided by its sum of digits (81) gives a square (1118215306849 = 1057457²).

The spelling of 90575439854769 in words is "ninety trillion, five hundred seventy-five billion, four hundred thirty-nine million, eight hundred fifty-four thousand, seven hundred sixty-nine".