13661298870912 has 2560 divisors, whose sum is σ = 58350606336000. Its totient is φ = 3060036403200.

The previous prime is 13661298870883. The next prime is 13661298870913. The reversal of 13661298870912 is 21907889216631.

13661298870912 is a `hidden beast` number, since 1 + 3 + 6 + 612 + 9 + 8 + 8 + 7 + 0 + 9 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13661298870912.

It is not an unprimeable number, because it can be changed into a prime (13661298870913) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7993737514 + ... + 7993739222.

It is an arithmetic number, because the mean of its divisors is an integer number (22793205600).

Almost surely, 2^{13661298870912} is an apocalyptic number.

13661298870912 is a gapful number since it is divisible by the number (12) 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 13661298870912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175303168000).

13661298870912 is an abundant number, since it is smaller than the sum of its proper divisors (44689307465088).

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

13661298870912 is a wasteful number, since it uses less digits than its factorization.

13661298870912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 13661298870912 in words is "thirteen trillion, six hundred sixty-one billion, two hundred ninety-eight million, eight hundred seventy thousand, nine hundred twelve".