90340063458121 has 9 divisors (see below), whose sum is σ = 91281937342599. Its totient is φ = 89407810142784.

The previous prime is 90340063458089. The next prime is 90340063458131. The reversal of 90340063458121 is 12185436004309.

It is a happy number.

The square root of 90340063458121 is 9504739.

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., 40566135414025 + 49773928044096 = 6369155^2 + 7055064^2 .

It is not a de Polignac number, because 90340063458121 - 2⁵ = 90340063458089 is a prime.

It is a super-2 number, since 2×90340063458121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90340063458131) 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 8 ways as a sum of consecutive naturals, for example, 921910690 + ... + 922008676.

It is an arithmetic number, because the mean of its divisors is an integer number (10142437482511).

Almost surely, 2^{90340063458121} is an apocalyptic number.

90340063458121 is the 9504739-th square number.

90340063458121 is the 4752370-th centered octagonal number.

It is an amenable number.

90340063458121 is a deficient number, since it is larger than the sum of its proper divisors (941873884478).

90340063458121 is an frugal number, since it uses more digits than its factorization.

90340063458121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196168 (or 98084 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 90340063458121 in words is "ninety trillion, three hundred forty billion, sixty-three million, four hundred fifty-eight thousand, one hundred twenty-one".