13486761471888 has 720 divisors, whose sum is σ = 42215188055040. Its totient is φ = 4161206649600.

The previous prime is 13486761471823. The next prime is 13486761471947. The reversal of 13486761471888 is 88817416768431.

13486761471888 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 6 + 76 + 1 + 471 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18551253381 + ... + 18551254107.

It is an arithmetic number, because the mean of its divisors is an integer number (58632205632).

Almost surely, 2^{13486761471888} is an apocalyptic number.

13486761471888 is a gapful number since it is divisible by the number (18) 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 13486761471888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21107594027520).

13486761471888 is an abundant number, since it is smaller than the sum of its proper divisors (28728426583152).

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

13486761471888 is an equidigital number, since it uses as much as digits as its factorization.

13486761471888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 953 counting only the distinct ones).

The product of its digits is 346816512, while the sum is 72.

The spelling of 13486761471888 in words is "thirteen trillion, four hundred eighty-six billion, seven hundred sixty-one million, four hundred seventy-one thousand, eight hundred eighty-eight".