90414133141409 has 12 divisors (see below), whose sum is σ = 114737044655088. Its totient is φ = 70452571278600.

The previous prime is 90414133141393. The next prime is 90414133141433.

90414133141409 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 90414133141409 - 2⁴ = 90414133141393 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90414133141409.

It is not an unprimeable number, because it can be changed into a prime (90414133161409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83872108127 + ... + 83872109204.

It is an arithmetic number, because the mean of its divisors is an integer number (9561420387924).

Almost surely, 2^{90414133141409} is an apocalyptic number.

It is an amenable number.

90414133141409 is a deficient number, since it is larger than the sum of its proper divisors (24322911513679).

90414133141409 is a wasteful number, since it uses less digits than its factorization.

90414133141409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167744217356 (or 167744217349 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The spelling of 90414133141409 in words is "ninety trillion, four hundred fourteen billion, one hundred thirty-three million, one hundred forty-one thousand, four hundred nine".