13146823728 has 120 divisors (see below), whose sum is σ = 38041342976. Its totient is φ = 4234032000.

The previous prime is 13146823709. The next prime is 13146823747. The reversal of 13146823728 is 82732864131.

13146823728 is a `hidden beast` number, since 131 + 468 + 2 + 37 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (13146823709) and next prime (13146823747).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3243303 + ... + 3247353.

Almost surely, 2^13146823728 is an apocalyptic number.

13146823728 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 13146823728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19020671488).

13146823728 is an abundant number, since it is smaller than the sum of its proper divisors (24894519248).

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

13146823728 is a wasteful number, since it uses less digits than its factorization.

13146823728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4814 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 13146823728 in words is "thirteen billion, one hundred forty-six million, eight hundred twenty-three thousand, seven hundred twenty-eight".