90206638848 has 432 divisors, whose sum is σ = 285952133376. Its totient is φ = 28302151680.

The previous prime is 90206638817. The next prime is 90206638849. The reversal of 90206638848 is 84883660209.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90206638794 and 90206638803.

It is not an unprimeable number, because it can be changed into a prime (90206638849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95862058 + ... + 95862998.

Almost surely, 2^90206638848 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 90206638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142976066688).

90206638848 is an abundant number, since it is smaller than the sum of its proper divisors (195745494528).

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

90206638848 is an equidigital number, since it uses as much as digits as its factorization.

90206638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 90206638848 in words is "ninety billion, two hundred six million, six hundred thirty-eight thousand, eight hundred forty-eight".