13681874523744 has 768 divisors, whose sum is σ = 48767685120000. Its totient is φ = 3723183636480.

The previous prime is 13681874523677. The next prime is 13681874523761. The reversal of 13681874523744 is 44732547818631.

13681874523744 is a `hidden beast` number, since 1 + 3 + 68 + 1 + 8 + 7 + 4 + 523 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1642674972 + ... + 1642683300.

It is an arithmetic number, because the mean of its divisors is an integer number (63499590000).

Almost surely, 2^{13681874523744} is an apocalyptic number.

13681874523744 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 13681874523744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24383842560000).

13681874523744 is an abundant number, since it is smaller than the sum of its proper divisors (35085810596256).

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

13681874523744 is a wasteful number, since it uses less digits than its factorization.

13681874523744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8633 (or 8605 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 13681874523744 in words is "thirteen trillion, six hundred eighty-one billion, eight hundred seventy-four million, five hundred twenty-three thousand, seven hundred forty-four".