1382028761664 has 56 divisors (see below), whose sum is σ = 4062908633120. Its totient is φ = 460676253312.

The previous prime is 1382028761647. The next prime is 1382028761669. The reversal of 1382028761664 is 4661678202831.

It is a happy number.

1382028761664 is a `hidden beast` number, since 13 + 8 + 2 + 0 + 2 + 8 + 7 + 616 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1382028761664.

It is not an unprimeable number, because it can be changed into a prime (1382028761669) 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 7 ways as a sum of consecutive naturals, for example, 399890854 + ... + 399894309.

Almost surely, 2^{1382028761664} is an apocalyptic number.

It is an amenable number.

1382028761664 is an abundant number, since it is smaller than the sum of its proper divisors (2680879871456).

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

1382028761664 is an equidigital number, since it uses as much as digits as its factorization.

1382028761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799785184 (or 799785168 counting only the distinct ones).

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

The spelling of 1382028761664 in words is "one trillion, three hundred eighty-two billion, twenty-eight million, seven hundred sixty-one thousand, six hundred sixty-four".