13449745764 has 576 divisors, whose sum is σ = 46847324160. Its totient is φ = 3275251200.

The previous prime is 13449745759. The next prime is 13449745843. The reversal of 13449745764 is 46754794431.

13449745764 is a `hidden beast` number, since 1 + 3 + 44 + 97 + 457 + 64 = 666.

It is a super-2 number, since 2×13449745764² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13449745764.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89071089 + ... + 89071239.

It is an arithmetic number, because the mean of its divisors is an integer number (81332160).

Almost surely, 2^13449745764 is an apocalyptic number.

13449745764 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 13449745764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23423662080).

13449745764 is an abundant number, since it is smaller than the sum of its proper divisors (33397578396).

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

13449745764 is a wasteful number, since it uses less digits than its factorization.

13449745764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 13449745764 in words is "thirteen billion, four hundred forty-nine million, seven hundred forty-five thousand, seven hundred sixty-four".