13461746126400 has 2016 divisors, whose sum is σ = 59803647321600. Its totient is φ = 2821600051200.

The previous prime is 13461746126363. The next prime is 13461746126407. The reversal of 13461746126400 is 462164716431.

13461746126400 is a `hidden beast` number, since 1 + 3 + 4 + 617 + 4 + 6 + 1 + 26 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13461746126407) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 8366528796 + ... + 8366530404.

It is an arithmetic number, because the mean of its divisors is an integer number (29664507600).

Almost surely, 2^{13461746126400} is an apocalyptic number.

13461746126400 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 13461746126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29901823660800).

13461746126400 is an abundant number, since it is smaller than the sum of its proper divisors (46341901195200).

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

13461746126400 is a wasteful number, since it uses less digits than its factorization.

13461746126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13461746126400 in words is "thirteen trillion, four hundred sixty-one billion, seven hundred forty-six million, one hundred twenty-six thousand, four hundred".