13181928112512 has 192 divisors, whose sum is σ = 38409386146560. Its totient is φ = 4339056107520.

The previous prime is 13181928112417. The next prime is 13181928112537. The reversal of 13181928112512 is 21521182918131.

13181928112512 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 19 + 2 + 8 + 112 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29925738 + ... + 30363030.

It is an arithmetic number, because the mean of its divisors is an integer number (200048886180).

Almost surely, 2^{13181928112512} is an apocalyptic number.

13181928112512 is a gapful number since it is divisible by the number (12) 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 13181928112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19204693073280).

13181928112512 is an abundant number, since it is smaller than the sum of its proper divisors (25227458034048).

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

13181928112512 is a wasteful number, since it uses less digits than its factorization.

13181928112512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437641 (or 437626 counting only the distinct ones).

The product of its digits is 69120, while the sum is 45.

The spelling of 13181928112512 in words is "thirteen trillion, one hundred eighty-one billion, nine hundred twenty-eight million, one hundred twelve thousand, five hundred twelve".