1822467916224 has 672 divisors, whose sum is σ = 6043391617536. Its totient is φ = 541591142400.

The previous prime is 1822467916211. The next prime is 1822467916229. The reversal of 1822467916224 is 4226197642281.

1822467916224 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 4 + 6 + 7 + 9 + 1 + 622 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822467916229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650647624 + ... + 650650424.

It is an arithmetic number, because the mean of its divisors is an integer number (8993142288).

Almost surely, 2^{1822467916224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1822467916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021695808768).

1822467916224 is an abundant number, since it is smaller than the sum of its proper divisors (4220923701312).

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

1822467916224 is a wasteful number, since it uses less digits than its factorization.

1822467916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2953 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 1822467916224 in words is "one trillion, eight hundred twenty-two billion, four hundred sixty-seven million, nine hundred sixteen thousand, two hundred twenty-four".