13749686496000 has 4608 divisors, whose sum is σ = 67471418327040. Its totient is φ = 2708884684800.

The previous prime is 13749686495969. The next prime is 13749686496079. The reversal of 13749686496000 is 69468694731.

13749686496000 is a `hidden beast` number, since 1 + 3 + 7 + 496 + 86 + 4 + 9 + 60 + 0 + 0 = 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 511 ways as a sum of consecutive naturals, for example, 108265247937 + ... + 108265248063.

It is an arithmetic number, because the mean of its divisors is an integer number (14642234880).

Almost surely, 2^{13749686496000} is an apocalyptic number.

13749686496000 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 13749686496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33735709163520).

13749686496000 is an abundant number, since it is smaller than the sum of its proper divisors (53721731831040).

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

13749686496000 is an equidigital number, since it uses as much as digits as its factorization.

13749686496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 13749686496000 in words is "thirteen trillion, seven hundred forty-nine billion, six hundred eighty-six million, four hundred ninety-six thousand".