9182718090000 has 3375 divisors, whose sum is σ = 42995018570427. Its totient is φ = 1885089024000.

The previous prime is 9182718089989. The next prime is 9182718090019. The reversal of 9182718090000 is 908172819.

The square root of 9182718090000 is 3030300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 8748131260176 + 434586829824 = 2957724^2 + 659232^2 .

It is a tau number, because it is divible by the number of its divisors (3375).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 674 ways as a sum of consecutive naturals, for example, 248181569982 + ... + 248181570018.

Almost surely, 2^{9182718090000} is an apocalyptic number.

9182718090000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9182718090000 is the 3030300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9182718090000

9182718090000 is an abundant number, since it is smaller than the sum of its proper divisors (33812300480427).

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

9182718090000 is a wasteful number, since it uses less digits than its factorization.

9182718090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 9182718090000 in words is "nine trillion, one hundred eighty-two billion, seven hundred eighteen million, ninety thousand".