13149577728 has 480 divisors, whose sum is σ = 45435341952. Its totient is φ = 3583180800.

The previous prime is 13149577681. The next prime is 13149577747. The reversal of 13149577728 is 82777594131.

13149577728 is a `hidden beast` number, since 1 + 3 + 1 + 49 + 577 + 7 + 28 = 666.

It is a super-2 number, since 2×13149577728² (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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80672175 + ... + 80672337.

Almost surely, 2^13149577728 is an apocalyptic number.

13149577728 is a gapful number since it is divisible by the number (18) 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 13149577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22717670976).

13149577728 is an abundant number, since it is smaller than the sum of its proper divisors (32285764224).

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

13149577728 is a wasteful number, since it uses less digits than its factorization.

13149577728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 277 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 54.

The spelling of 13149577728 in words is "thirteen billion, one hundred forty-nine million, five hundred seventy-seven thousand, seven hundred twenty-eight".