13031404546064 has 80 divisors (see below), whose sum is σ = 27311520093696. Its totient is φ = 5999930880000.

The previous prime is 13031404546057. The next prime is 13031404546123. The reversal of 13031404546064 is 46064540413031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38194949 + ... + 38534619.

Almost surely, 2^{13031404546064} 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 13031404546064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655760046848).

13031404546064 is an abundant number, since it is smaller than the sum of its proper divisors (14280115547632).

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

13031404546064 is a wasteful number, since it uses less digits than its factorization.

13031404546064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342744 (or 342738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

Adding to 13031404546064 its reverse (46064540413031), we get a palindrome (59095944959095).

The spelling of 13031404546064 in words is "thirteen trillion, thirty-one billion, four hundred four million, five hundred forty-six thousand, sixty-four".