13471735968 has 240 divisors, whose sum is σ = 41098337280. Its totient is φ = 4324492800.

The previous prime is 13471735939. The next prime is 13471735987. The reversal of 13471735968 is 86953717431.

13471735968 is a `hidden beast` number, since 1 + 3 + 47 + 1 + 7 + 3 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31256713 + ... + 31257143.

It is an arithmetic number, because the mean of its divisors is an integer number (171243072).

Almost surely, 2^13471735968 is an apocalyptic number.

13471735968 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 13471735968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20549168640).

13471735968 is an abundant number, since it is smaller than the sum of its proper divisors (27626601312).

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

13471735968 is a wasteful number, since it uses less digits than its factorization.

13471735968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 856 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 13471735968 in words is "thirteen billion, four hundred seventy-one million, seven hundred thirty-five thousand, nine hundred sixty-eight".