13531943132928 has 648 divisors, whose sum is σ = 45314982694800. Its totient is φ = 3869919313920.

The previous prime is 13531943132891. The next prime is 13531943132963. The reversal of 13531943132928 is 82923134913531.

13531943132928 is a `hidden beast` number, since 1 + 3 + 5 + 31 + 9 + 4 + 313 + 292 + 8 = 666.

It is a super-2 number, since 2×13531943132928² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1424860276 + ... + 1424869772.

It is an arithmetic number, because the mean of its divisors is an integer number (69930528850).

Almost surely, 2^{13531943132928} is an apocalyptic number.

13531943132928 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 13531943132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657491347400).

13531943132928 is an abundant number, since it is smaller than the sum of its proper divisors (31783039561872).

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

13531943132928 is a wasteful number, since it uses less digits than its factorization.

13531943132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9801 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 13531943132928 in words is "thirteen trillion, five hundred thirty-one billion, nine hundred forty-three million, one hundred thirty-two thousand, nine hundred twenty-eight".