13461398415360 has 3072 divisors, whose sum is σ = 60886425600000. Its totient is φ = 2809213747200.

The previous prime is 13461398415349. The next prime is 13461398415383. The reversal of 13461398415360 is 6351489316431.

13461398415360 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 13 + 98 + 4 + 1 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13461398415297 and 13461398415306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55856424840 + ... + 55856425080.

It is an arithmetic number, because the mean of its divisors is an integer number (19819800000).

Almost surely, 2^{13461398415360} is an apocalyptic number.

13461398415360 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 13461398415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30443212800000).

13461398415360 is an abundant number, since it is smaller than the sum of its proper divisors (47425027184640).

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

13461398415360 is a wasteful number, since it uses less digits than its factorization.

13461398415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13461398415360 in words is "thirteen trillion, four hundred sixty-one billion, three hundred ninety-eight million, four hundred fifteen thousand, three hundred sixty".