90102416349789 has 6 divisors (see below), whose sum is σ = 130147934727486. Its totient is φ = 60068277566520.

The previous prime is 90102416349773. The next prime is 90102416349793. The reversal of 90102416349789 is 98794361420109.

90102416349789 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 2 + 4 + 1 + 63 + 497 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64782247782564 + 25320168567225 = 8048742^2 + 5031915^2 .

It is not a de Polignac number, because 90102416349789 - 2⁴ = 90102416349773 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90102416349709) 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 5 ways as a sum of consecutive naturals, for example, 5005689797202 + ... + 5005689797219.

It is an arithmetic number, because the mean of its divisors is an integer number (21691322454581).

Almost surely, 2^{90102416349789} is an apocalyptic number.

It is an amenable number.

90102416349789 is a deficient number, since it is larger than the sum of its proper divisors (40045518377697).

90102416349789 is a wasteful number, since it uses less digits than its factorization.

90102416349789 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011379594427 (or 10011379594424 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 90102416349789 in words is "ninety trillion, one hundred two billion, four hundred sixteen million, three hundred forty-nine thousand, seven hundred eighty-nine".