90443490816 has 320 divisors, whose sum is σ = 281230000128. Its totient is φ = 25296150528.

The previous prime is 90443490811. The next prime is 90443490829. The reversal of 90443490816 is 61809434409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90443490811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160645351 + ... + 160645913.

Almost surely, 2^90443490816 is an apocalyptic number.

90443490816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90443490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140615000064).

90443490816 is an abundant number, since it is smaller than the sum of its proper divisors (190786509312).

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

90443490816 is a wasteful number, since it uses less digits than its factorization.

90443490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 90443490816 in words is "ninety billion, four hundred forty-three million, four hundred ninety thousand, eight hundred sixteen".