13705054464 has 288 divisors, whose sum is σ = 39691209600. Its totient is φ = 4184801280.

The previous prime is 13705054357. The next prime is 13705054477. The reversal of 13705054464 is 46445050731.

It is a happy number.

It is a super-2 number, since 2×13705054464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79219882 + ... + 79220054.

It is an arithmetic number, because the mean of its divisors is an integer number (137816700).

Almost surely, 2^13705054464 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 13705054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19845604800).

13705054464 is an abundant number, since it is smaller than the sum of its proper divisors (25986155136).

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

13705054464 is a wasteful number, since it uses less digits than its factorization.

13705054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 13705054464 in words is "thirteen billion, seven hundred five million, fifty-four thousand, four hundred sixty-four".