13735435070016 has 896 divisors, whose sum is σ = 46817280000000. Its totient is φ = 3905286359040.

The previous prime is 13735435069999. The next prime is 13735435070041. The reversal of 13735435070016 is 61007053453731.

13735435070016 is a `hidden beast` number, since 1 + 37 + 3 + 543 + 5 + 0 + 70 + 0 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27525921735 + ... + 27525922233.

Almost surely, 2^{13735435070016} is an apocalyptic number.

13735435070016 is a gapful number since it is divisible by the number (16) 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 13735435070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640000000).

13735435070016 is an abundant number, since it is smaller than the sum of its proper divisors (33081844929984).

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

13735435070016 is a wasteful number, since it uses less digits than its factorization.

13735435070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 13735435070016 in words is "thirteen trillion, seven hundred thirty-five billion, four hundred thirty-five million, seventy thousand, sixteen".