1822467600144 has 405 divisors, whose sum is σ = 5591466261927. Its totient is φ = 554035075200.

The previous prime is 1822467600137. The next prime is 1822467600167. The reversal of 1822467600144 is 4410067642281.

The square root of 1822467600144 is 1349988.

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

1822467600144 is a `hidden beast` number, since 1 + 8 + 2 + 24 + 6 + 7 + 600 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1822467600144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9541715089 + ... + 9541715279.

Almost surely, 2^{1822467600144} is an apocalyptic number.

1822467600144 is the 1349988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822467600144

1822467600144 is an abundant number, since it is smaller than the sum of its proper divisors (3768998661783).

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

1822467600144 is a wasteful number, since it uses less digits than its factorization.

1822467600144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1822467600144 in words is "one trillion, eight hundred twenty-two billion, four hundred sixty-seven million, six hundred thousand, one hundred forty-four".