1809498470976 has 945 divisors, whose sum is σ = 6670779248331. Its totient is φ = 483488538624.

The previous prime is 1809498470963. The next prime is 1809498470977. The reversal of 1809498470976 is 6790748949081.

The square root of 1809498470976 is 1345176.

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

1809498470976 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 498 + 47 + 0 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12182861376 + 1797315609600 = 110376^2 + 1340640^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1809498470977) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11525467890 + ... + 11525468046.

Almost surely, 2^{1809498470976} is an apocalyptic number.

1809498470976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1809498470976 is the 1345176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809498470976

1809498470976 is an abundant number, since it is smaller than the sum of its proper divisors (4861280777355).

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

1809498470976 is an equidigital number, since it uses as much as digits as its factorization.

1809498470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 1809498470976 in words is "one trillion, eight hundred nine billion, four hundred ninety-eight million, four hundred seventy thousand, nine hundred seventy-six".