90910146843648 has 132 divisors (see below), whose sum is σ = 286364810647968. Its totient is φ = 27548529315840.

The previous prime is 90910146843647. The next prime is 90910146843667. The reversal of 90910146843648 is 84634864101909.

90910146843648 is a `hidden beast` number, since 9 + 0 + 9 + 10 + 146 + 8 + 436 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90910146843647) 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 11 ways as a sum of consecutive naturals, for example, 448279636 + ... + 448482387.

Almost surely, 2^{90910146843648} is an apocalyptic number.

It is an amenable number.

90910146843648 is an abundant number, since it is smaller than the sum of its proper divisors (195454663804320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90910146843648 is a wasteful number, since it uses less digits than its factorization.

90910146843648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896762060 (or 896762039 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 90910146843648 in words is "ninety trillion, nine hundred ten billion, one hundred forty-six million, eight hundred forty-three thousand, six hundred forty-eight".