90455976081 has 27 divisors (see below), whose sum is σ = 135358618161. Its totient is φ = 58207693824.

The previous prime is 90455976053. The next prime is 90455976089. The reversal of 90455976081 is 18067955409.

The square root of 90455976081 is 300759.

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

90455976081 is a `hidden beast` number, since 9 + 0 + 4 + 559 + 7 + 6 + 0 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32319050625 + 58136925456 = 179775^2 + 241116^2 .

It is not a de Polignac number, because 90455976081 - 2¹⁵ = 90455943313 is a prime.

It is a super-2 number, since 2×90455976081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90455976089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26164305 + ... + 26167761.

Almost surely, 2^90455976081 is an apocalyptic number.

90455976081 is the 300759-th square number.

90455976081 is the 150380-th centered octagonal number.

It is an amenable number.

90455976081 is a deficient number, since it is larger than the sum of its proper divisors (44902642080).

90455976081 is an frugal number, since it uses more digits than its factorization.

90455976081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6978 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 90455976081 in words is "ninety billion, four hundred fifty-five million, nine hundred seventy-six thousand, eighty-one".