1329782138685 has 576 divisors, whose sum is σ = 3309119723520. Its totient is φ = 478332241920.

The previous prime is 1329782138681. The next prime is 1329782138693. The reversal of 1329782138685 is 5868312879231.

1329782138685 is a `hidden beast` number, since 13 + 2 + 97 + 82 + 1 + 386 + 85 = 666.

It is not a de Polignac number, because 1329782138685 - 2² = 1329782138681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329782138681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1190493747 + ... + 1190494863.

It is an arithmetic number, because the mean of its divisors is an integer number (5744999520).

Almost surely, 2^{1329782138685} is an apocalyptic number.

1329782138685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1329782138685 is an abundant number, since it is smaller than the sum of its proper divisors (1979337584835).

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

1329782138685 is a wasteful number, since it uses less digits than its factorization.

1329782138685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 1329782138685 in words is "one trillion, three hundred twenty-nine billion, seven hundred eighty-two million, one hundred thirty-eight thousand, six hundred eighty-five".