13881621104064 has 672 divisors, whose sum is σ = 48946354329600. Its totient is φ = 3672879759360.

The previous prime is 13881621104051. The next prime is 13881621104149. The reversal of 13881621104064 is 46040112618831.

13881621104064 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 1 + 621 + 10 + 4 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3632979274 + ... + 3632983094.

It is an arithmetic number, because the mean of its divisors is an integer number (72836836800).

Almost surely, 2^{13881621104064} is an apocalyptic number.

13881621104064 is a gapful number since it is divisible by the number (14) 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 13881621104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473177164800).

13881621104064 is an abundant number, since it is smaller than the sum of its proper divisors (35064733225536).

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

13881621104064 is a wasteful number, since it uses less digits than its factorization.

13881621104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 13881621104064 in words is "thirteen trillion, eight hundred eighty-one billion, six hundred twenty-one million, one hundred four thousand, sixty-four".