1329139993536 has 112 divisors (see below), whose sum is σ = 4013031730080. Its totient is φ = 431072409600.

The previous prime is 1329139993523. The next prime is 1329139993537. The reversal of 1329139993536 is 6353999319231.

1329139993536 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 1 + 3 + 9 + 9 + 93 + 536 = 666.

It is a super-2 number, since 2×1329139993536² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329139993537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10330365 + ... + 10458236.

Almost surely, 2^{1329139993536} is an apocalyptic number.

1329139993536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1329139993536 is an abundant number, since it is smaller than the sum of its proper divisors (2683891736544).

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

1329139993536 is a wasteful number, since it uses less digits than its factorization.

1329139993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20788659 (or 20788643 counting only the distinct ones).

The product of its digits is 31886460, while the sum is 63.

The spelling of 1329139993536 in words is "one trillion, three hundred twenty-nine billion, one hundred thirty-nine million, nine hundred ninety-three thousand, five hundred thirty-six".