90499894288128 has 216 divisors, whose sum is σ = 281110066087760. Its totient is φ = 27835740979200.

The previous prime is 90499894288117. The next prime is 90499894288159. The reversal of 90499894288128 is 82188249899409.

90499894288128 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 98 + 9 + 428 + 81 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79979103 + ... + 81102753.

Almost surely, 2^{90499894288128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90499894288128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555033043880).

90499894288128 is an abundant number, since it is smaller than the sum of its proper divisors (190610171799632).

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

90499894288128 is a wasteful number, since it uses less digits than its factorization.

90499894288128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126375 (or 1126358 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 81.

The spelling of 90499894288128 in words is "ninety trillion, four hundred ninety-nine billion, eight hundred ninety-four million, two hundred eighty-eight thousand, one hundred twenty-eight".