1323622638144 has 525 divisors, whose sum is σ = 4288900825407. Its totient is φ = 403572782592.

The previous prime is 1323622638137. The next prime is 1323622638161. The reversal of 1323622638144 is 4418362263231.

The square root of 1323622638144 is 1150488.

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

1323622638144 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 6 + 2 + 2 + 638 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3145863744 + 1320476774400 = 56088^2 + 1149120^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1323622638144.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 45642159922 + ... + 45642159950.

Almost surely, 2^{1323622638144} is an apocalyptic number.

1323622638144 is the 1150488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323622638144

1323622638144 is an abundant number, since it is smaller than the sum of its proper divisors (2965278187263).

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

1323622638144 is an frugal number, since it uses more digits than its factorization.

1323622638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 53 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 1323622638144 in words is "one trillion, three hundred twenty-three billion, six hundred twenty-two million, six hundred thirty-eight thousand, one hundred forty-four".