90863289623424 has 128 divisors (see below), whose sum is σ = 245917134518400. Its totient is φ = 29715372517376.

The previous prime is 90863289623321. The next prime is 90863289623467. The reversal of 90863289623424 is 42432698236809.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×90863289623424² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1032270487 + ... + 1032358505.

It is an arithmetic number, because the mean of its divisors is an integer number (1921227613425).

Almost surely, 2^{90863289623424} 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 90863289623424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122958567259200).

90863289623424 is an abundant number, since it is smaller than the sum of its proper divisors (155053844894976).

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

90863289623424 is a wasteful number, since it uses less digits than its factorization.

90863289623424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138812 (or 138800 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 66.

The spelling of 90863289623424 in words is "ninety trillion, eight hundred sixty-three billion, two hundred eighty-nine million, six hundred twenty-three thousand, four hundred twenty-four".