1812889902096 has 945 divisors, whose sum is σ = 6682368564711. Its totient is φ = 474634847232.

The previous prime is 1812889902059. The next prime is 1812889902101. The reversal of 1812889902096 is 6902099882181.

The square root of 1812889902096 is 1346436.

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

1812889902096 is a `hidden beast` number, since 181 + 288 + 9 + 90 + 2 + 0 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 161150862096 + 1651739040000 = 401436^2 + 1285200^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 13232772940 + ... + 13232773076.

Almost surely, 2^{1812889902096} is an apocalyptic number.

1812889902096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1812889902096 is the 1346436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1812889902096

1812889902096 is an abundant number, since it is smaller than the sum of its proper divisors (4869478662615).

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

1812889902096 is an equidigital number, since it uses as much as digits as its factorization.

1812889902096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 63.

The spelling of 1812889902096 in words is "one trillion, eight hundred twelve billion, eight hundred eighty-nine million, nine hundred two thousand, ninety-six".