1816672665600 has 1377 divisors, whose sum is σ = 7317430870503. Its totient is φ = 447180963840.

The previous prime is 1816672665529. The next prime is 1816672665601. The reversal of 1816672665600 is 65662766181.

The square root of 1816672665600 is 1347840.

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

1816672665600 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 6 + 7 + 26 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 468250066944 + 1348422598656 = 684288^2 + 1161216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1816672665601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 139744051194 + ... + 139744051206.

Almost surely, 2^{1816672665600} is an apocalyptic number.

1816672665600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1816672665600 is the 1347840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1816672665600

1816672665600 is an abundant number, since it is smaller than the sum of its proper divisors (5500758204903).

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

1816672665600 is an frugal number, since it uses more digits than its factorization.

1816672665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1816672665600 in words is "one trillion, eight hundred sixteen billion, six hundred seventy-two million, six hundred sixty-five thousand, six hundred".