90648229824 has 168 divisors, whose sum is σ = 268316425520. Its totient is φ = 29241741312.

The previous prime is 90648229817. The next prime is 90648229877. The reversal of 90648229824 is 42892284609.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2682924 + ... + 2716500.

Almost surely, 2^90648229824 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 90648229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134158212760).

90648229824 is an abundant number, since it is smaller than the sum of its proper divisors (177668195696).

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

90648229824 is a wasteful number, since it uses less digits than its factorization.

90648229824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33747 (or 33734 counting only the distinct ones).

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

The spelling of 90648229824 in words is "ninety billion, six hundred forty-eight million, two hundred twenty-nine thousand, eight hundred twenty-four".