90348241920 has 352 divisors, whose sum is σ = 295748201856. Its totient is φ = 23533977600.

The previous prime is 90348241909. The next prime is 90348241967. The reversal of 90348241920 is 2914284309.

It is a super-3 number, since 3×90348241920³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 197698332 + ... + 197698788.

Almost surely, 2^90348241920 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 90348241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147874100928).

90348241920 is an abundant number, since it is smaller than the sum of its proper divisors (205399959936).

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

90348241920 is a wasteful number, since it uses less digits than its factorization.

90348241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 90348241920 in words is "ninety billion, three hundred forty-eight million, two hundred forty-one thousand, nine hundred twenty".