13691691048960 has 448 divisors, whose sum is σ = 49265416287360. Its totient is φ = 3607104061440.

The previous prime is 13691691048947. The next prime is 13691691049009. The reversal of 13691691048960 is 6984019619631.

13691691048960 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 1 + 6 + 91 + 0 + 489 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91716780 + ... + 91865940.

It is an arithmetic number, because the mean of its divisors is an integer number (109967447070).

Almost surely, 2^{13691691048960} is an apocalyptic number.

13691691048960 is a gapful number since it is divisible by the number (10) 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 13691691048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24632708143680).

13691691048960 is an abundant number, since it is smaller than the sum of its proper divisors (35573725238400).

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

13691691048960 is an equidigital number, since it uses as much as digits as its factorization.

13691691048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149284 (or 149254 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 13691691048960 in words is "thirteen trillion, six hundred ninety-one billion, six hundred ninety-one million, forty-eight thousand, nine hundred sixty".