13129006464 has 384 divisors, whose sum is σ = 45734906880. Its totient is φ = 3533967360.

The previous prime is 13129006453. The next prime is 13129006477. The reversal of 13129006464 is 46460092131.

13129006464 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 9 + 0 + 0 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13168014 + ... + 13169010.

It is an arithmetic number, because the mean of its divisors is an integer number (119101320).

Almost surely, 2^13129006464 is an apocalyptic number.

13129006464 is a gapful number since it is divisible by the number (14) 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 13129006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867453440).

13129006464 is an abundant number, since it is smaller than the sum of its proper divisors (32605900416).

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

13129006464 is a wasteful number, since it uses less digits than its factorization.

13129006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 13129006464 its reverse (46460092131), we get a palindrome (59589098595).

The spelling of 13129006464 in words is "thirteen billion, one hundred twenty-nine million, six thousand, four hundred sixty-four".