90076034408305 has 32 divisors (see below), whose sum is σ = 118056103584768. Its totient is φ = 65432989944000.

The previous prime is 90076034408291. The next prime is 90076034408357. The reversal of 90076034408305 is 50380443067009.

It is not a de Polignac number, because 90076034408305 - 2⁵ = 90076034408273 is a prime.

It is a super-2 number, since 2×90076034408305² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263824834 + ... + 264166036.

It is an arithmetic number, because the mean of its divisors is an integer number (3689253237024).

Almost surely, 2^{90076034408305} is an apocalyptic number.

It is an amenable number.

90076034408305 is a deficient number, since it is larger than the sum of its proper divisors (27980069176463).

90076034408305 is a wasteful number, since it uses less digits than its factorization.

90076034408305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346837.

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 90076034408305 in words is "ninety trillion, seventy-six billion, thirty-four million, four hundred eight thousand, three hundred five".