13461402300516 has 144 divisors (see below), whose sum is σ = 37792370423808. Its totient is φ = 4018417920000.

The previous prime is 13461402300473. The next prime is 13461402300517. The reversal of 13461402300516 is 61500320416431.

13461402300516 is a `hidden beast` number, since 1 + 3 + 4 + 614 + 0 + 2 + 30 + 0 + 5 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13461402300517) 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 47 ways as a sum of consecutive naturals, for example, 185016 + ... + 5192016.

It is an arithmetic number, because the mean of its divisors is an integer number (262447016832).

Almost surely, 2^{13461402300516} 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 13461402300516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18896185211904).

13461402300516 is an abundant number, since it is smaller than the sum of its proper divisors (24330968123292).

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

13461402300516 is a wasteful number, since it uses less digits than its factorization.

13461402300516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007242 (or 5007237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13461402300516 its reverse (61500320416431), we get a palindrome (74961722716947).

The spelling of 13461402300516 in words is "thirteen trillion, four hundred sixty-one billion, four hundred two million, three hundred thousand, five hundred sixteen".