13934475031680 has 1024 divisors, whose sum is σ = 59838676992000. Its totient is φ = 2993568399360.

The previous prime is 13934475031657. The next prime is 13934475031681. The reversal of 13934475031680 is 8613057443931.

13934475031680 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 4 + 47 + 503 + 16 + 80 = 666.

13934475031680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13934475031681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291852610 + ... + 291900350.

It is an arithmetic number, because the mean of its divisors is an integer number (58436208000).

Almost surely, 2^{13934475031680} is an apocalyptic number.

13934475031680 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 13934475031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29919338496000).

13934475031680 is an abundant number, since it is smaller than the sum of its proper divisors (45904201960320).

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

13934475031680 is a wasteful number, since it uses less digits than its factorization.

13934475031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47922 (or 47904 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13934475031680 in words is "thirteen trillion, nine hundred thirty-four billion, four hundred seventy-five million, thirty-one thousand, six hundred eighty".