13882729386528 has 1152 divisors, whose sum is σ = 47566655136000. Its totient is φ = 3910046515200.

The previous prime is 13882729386523. The next prime is 13882729386563. The reversal of 13882729386528 is 82568392728831.

It is a happy number.

13882729386528 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 2 + 7 + 2 + 93 + 8 + 6 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13882729386523) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30114380218 + ... + 30114380678.

It is an arithmetic number, because the mean of its divisors is an integer number (41290499250).

Almost surely, 2^{13882729386528} is an apocalyptic number.

13882729386528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13882729386528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23783327568000).

13882729386528 is an abundant number, since it is smaller than the sum of its proper divisors (33683925749472).

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

13882729386528 is a wasteful number, since it uses less digits than its factorization.

13882729386528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 592 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 13882729386528 in words is "thirteen trillion, eight hundred eighty-two billion, seven hundred twenty-nine million, three hundred eighty-six thousand, five hundred twenty-eight".