13897834406064 has 100 divisors (see below), whose sum is σ = 45970702725904. Its totient is φ = 3970809827712.

The previous prime is 13897834406051. The next prime is 13897834406083. The reversal of 13897834406064 is 46060443879831.

It is a happy number.

13897834406064 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 78 + 3 + 440 + 60 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13897834405992 and 13897834406010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 765965047 + ... + 765983190.

Almost surely, 2^{13897834406064} is an apocalyptic number.

13897834406064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13897834406064 is an abundant number, since it is smaller than the sum of its proper divisors (32072868319840).

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

13897834406064 is a wasteful number, since it uses less digits than its factorization.

13897834406064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531948264 (or 1531948249 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 13897834406064 in words is "thirteen trillion, eight hundred ninety-seven billion, eight hundred thirty-four million, four hundred six thousand, sixty-four".