1382033008801 has 27 divisors (see below), whose sum is σ = 1465518293841. Its totient is φ = 1303193813064.

The previous prime is 1382033008781. The next prime is 1382033008841. The reversal of 1382033008801 is 1088003302831.

The square root of 1382033008801 is 1175599.

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

It is not a de Polignac number, because 1382033008801 - 2⁷ = 1382033008673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1382033008841) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2136063060 + ... + 2136063706.

Almost surely, 2^{1382033008801} is an apocalyptic number.

1382033008801 is the 1175599-th square number.

1382033008801 is the 587800-th centered octagonal number.

It is an amenable number.

1382033008801 is a deficient number, since it is larger than the sum of its proper divisors (83485285040).

1382033008801 is an frugal number, since it uses more digits than its factorization.

1382033008801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 1382033008801 in words is "one trillion, three hundred eighty-two billion, thirty-three million, eight thousand, eight hundred one".