13487838353064 has 128 divisors (see below), whose sum is σ = 37694325916800. Its totient is φ = 4468653826560.

The previous prime is 13487838353053. The next prime is 13487838353083. The reversal of 13487838353064 is 46035383878431.

13487838353064 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 7 + 8 + 38 + 3 + 530 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13487838352992 and 13487838353010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23816439 + ... + 24376185.

It is an arithmetic number, because the mean of its divisors is an integer number (294486921225).

Almost surely, 2^{13487838353064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13487838353064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847162958400).

13487838353064 is an abundant number, since it is smaller than the sum of its proper divisors (24206487563736).

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

13487838353064 is a wasteful number, since it uses less digits than its factorization.

13487838353064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560440 (or 560430 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 13487838353064 in words is "thirteen trillion, four hundred eighty-seven billion, eight hundred thirty-eight million, three hundred fifty-three thousand, sixty-four".