13686825156480 has 768 divisors, whose sum is σ = 56644377753600. Its totient is φ = 3093244526592.

The previous prime is 13686825156463. The next prime is 13686825156527. The reversal of 13686825156480 is 8465152868631.

13686825156480 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 68 + 2 + 5 + 1 + 564 + 8 + 0 = 666.

It is a super-3 number, since 3×13686825156480³ (a number of 40 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 96818329 + ... + 96959591.

It is an arithmetic number, because the mean of its divisors is an integer number (73755700200).

Almost surely, 2^{13686825156480} is an apocalyptic number.

13686825156480 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 13686825156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28322188876800).

13686825156480 is an abundant number, since it is smaller than the sum of its proper divisors (42957552597120).

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

13686825156480 is an equidigital number, since it uses as much as digits as its factorization.

13686825156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141393 (or 141369 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 13686825156480 in words is "thirteen trillion, six hundred eighty-six billion, eight hundred twenty-five million, one hundred fifty-six thousand, four hundred eighty".