20493149184 has 132 divisors (see below), whose sum is σ = 60008869440. Its totient is φ = 6734622720.

The previous prime is 20493149177. The next prime is 20493149207. The reversal of 20493149184 is 48194139402.

20493149184 is a `hidden beast` number, since 2 + 0 + 493 + 149 + 18 + 4 = 666.

It is a super-3 number, since 3×20493149184³ (a number of 32 digits) contains 333 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 11 ways as a sum of consecutive naturals, for example, 638677 + ... + 669995.

Almost surely, 2^20493149184 is an apocalyptic number.

20493149184 is a gapful number since it is divisible by the number (24) 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 20493149184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30004434720).

20493149184 is an abundant number, since it is smaller than the sum of its proper divisors (39515720256).

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

20493149184 is a wasteful number, since it uses less digits than its factorization.

20493149184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31416 (or 31395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 20493149184 in words is "twenty billion, four hundred ninety-three million, one hundred forty-nine thousand, one hundred eighty-four".