13691160205632 has 1344 divisors, whose sum is σ = 52333452864000. Its totient is φ = 3474841337856.

The previous prime is 13691160205589. The next prime is 13691160205651. The reversal of 13691160205632 is 23650206119631.

13691160205632 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 1 + 1 + 6 + 0 + 2 + 0 + 5 + 632 = 666.

13691160205632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14013469528 + ... + 14013470504.

It is an arithmetic number, because the mean of its divisors is an integer number (38938581000).

Almost surely, 2^{13691160205632} is an apocalyptic number.

13691160205632 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 13691160205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166726432000).

13691160205632 is an abundant number, since it is smaller than the sum of its proper divisors (38642292658368).

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

13691160205632 is a wasteful number, since it uses less digits than its factorization.

13691160205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13691160205632 in words is "thirteen trillion, six hundred ninety-one billion, one hundred sixty million, two hundred five thousand, six hundred thirty-two".