13755354864 has 80 divisors (see below), whose sum is σ = 36064358400. Its totient is φ = 4517031168.

The previous prime is 13755354863. The next prime is 13755354869. The reversal of 13755354864 is 46845355731.

13755354864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755354863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812582 + ... + 1820154.

It is an arithmetic number, because the mean of its divisors is an integer number (450804480).

Almost surely, 2^13755354864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13755354864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032179200).

13755354864 is an abundant number, since it is smaller than the sum of its proper divisors (22309003536).

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

13755354864 is a wasteful number, since it uses less digits than its factorization.

13755354864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8136 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 51.

The spelling of 13755354864 in words is "thirteen billion, seven hundred fifty-five million, three hundred fifty-four thousand, eight hundred sixty-four".