13601775264 has 192 divisors, whose sum is σ = 45951639552. Its totient is φ = 3418905600.

The previous prime is 13601775241. The next prime is 13601775269. The reversal of 13601775264 is 46257710631.

It is a happy number.

13601775264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13601775269) 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 31 ways as a sum of consecutive naturals, for example, 199474 + ... + 258830.

It is an arithmetic number, because the mean of its divisors is an integer number (239331456).

Almost surely, 2^13601775264 is an apocalyptic number.

13601775264 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 13601775264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22975819776).

13601775264 is an abundant number, since it is smaller than the sum of its proper divisors (32349864288).

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

13601775264 is a wasteful number, since it uses less digits than its factorization.

13601775264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59419 (or 59411 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 13601775264 in words is "thirteen billion, six hundred one million, seven hundred seventy-five thousand, two hundred sixty-four".