9090819000000 has 784 divisors, whose sum is σ = 34861053772800. Its totient is φ = 2318659200000.

The previous prime is 9090818999981. The next prime is 9090819000013. The reversal of 9090819000000 is 9180909.

It is a super-2 number, since 2×9090819000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 620992681 + ... + 621007319.

Almost surely, 2^{9090819000000} is an apocalyptic number.

9090819000000 is a gapful number since it is divisible by the number (90) 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 9090819000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430526886400).

9090819000000 is an abundant number, since it is smaller than the sum of its proper divisors (25770234772800).

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

9090819000000 is an equidigital number, since it uses as much as digits as its factorization.

9090819000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14713 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 9090819000000 in words is "nine trillion, ninety billion, eight hundred nineteen million", and thus it is an aban number.