90245942705 has 16 divisors (see below), whose sum is σ = 114696815184. Its totient is φ = 67931289600.

The previous prime is 90245942701. The next prime is 90245942737. The reversal of 90245942705 is 50724954209.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7095029824 + 83150912881 = 84232^2 + 288359^2 .

It is not a de Polignac number, because 90245942705 - 2² = 90245942701 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90245942705.

It is not an unprimeable number, because it can be changed into a prime (90245942701) 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 15 ways as a sum of consecutive naturals, for example, 171149 + ... + 458021.

It is an arithmetic number, because the mean of its divisors is an integer number (7168550949).

Almost surely, 2^90245942705 is an apocalyptic number.

It is an amenable number.

90245942705 is a deficient number, since it is larger than the sum of its proper divisors (24450872479).

90245942705 is a wasteful number, since it uses less digits than its factorization.

90245942705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290596.

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 90245942705 in words is "ninety billion, two hundred forty-five million, nine hundred forty-two thousand, seven hundred five".