13365861264 has 120 divisors (see below), whose sum is σ = 42988944960. Its totient is φ = 3797432064.

The previous prime is 13365861263. The next prime is 13365861323. The reversal of 13365861264 is 46216856331.

13365861264 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 586 + 1 + 2 + 64 = 666.

13365861264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13365861263) 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 23 ways as a sum of consecutive naturals, for example, 143394 + ... + 217470.

It is an arithmetic number, because the mean of its divisors is an integer number (358241208).

Almost surely, 2^13365861264 is an apocalyptic number.

13365861264 is a gapful number since it is divisible by the number (14) 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 13365861264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494472480).

13365861264 is an abundant number, since it is smaller than the sum of its proper divisors (29623083696).

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

13365861264 is a wasteful number, since it uses less digits than its factorization.

13365861264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74277 (or 74268 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 13365861264 in words is "thirteen billion, three hundred sixty-five million, eight hundred sixty-one thousand, two hundred sixty-four".