13661233860960 has 720 divisors, whose sum is σ = 56398033082160. Its totient is φ = 3105097390080.

The previous prime is 13661233860947. The next prime is 13661233860973. The reversal of 13661233860960 is 6906833216631.

13661233860960 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 1 + 23 + 3 + 8 + 609 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13661233860947) and next prime (13661233860973).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×13661233860960² (a number of 27 digits) contains 22 as substring.

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 = 13661233860897 and 13661233860906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113612070 + ... + 113732250.

It is an arithmetic number, because the mean of its divisors is an integer number (78330601503).

Almost surely, 2^{13661233860960} is an apocalyptic number.

13661233860960 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 13661233860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28199016541080).

13661233860960 is an abundant number, since it is smaller than the sum of its proper divisors (42736799221200).

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

13661233860960 is a wasteful number, since it uses less digits than its factorization.

13661233860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120401 (or 120377 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 13661233860960 in words is "thirteen trillion, six hundred sixty-one billion, two hundred thirty-three million, eight hundred sixty thousand, nine hundred sixty".