90671782448 has 80 divisors (see below), whose sum is σ = 198603955200. Its totient is φ = 39811979520.

The previous prime is 90671782393. The next prime is 90671782451. The reversal of 90671782448 is 84428717609.

It is a junction number, because it is equal to n+sod(n) for n = 90671782393 and 90671782402.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 261263 + ... + 499601.

It is an arithmetic number, because the mean of its divisors is an integer number (2482549440).

Almost surely, 2^90671782448 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 90671782448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99301977600).

90671782448 is an abundant number, since it is smaller than the sum of its proper divisors (107932172752).

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

90671782448 is a wasteful number, since it uses less digits than its factorization.

90671782448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238450 (or 238444 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 56.

The spelling of 90671782448 in words is "ninety billion, six hundred seventy-one million, seven hundred eighty-two thousand, four hundred forty-eight".