18627949152 has 144 divisors (see below), whose sum is σ = 53407081728. Its totient is φ = 6158718720.

The previous prime is 18627949147. The next prime is 18627949177. The reversal of 18627949152 is 25194972681.

It is a happy number.

18627949152 is a `hidden beast` number, since 1 + 8 + 627 + 9 + 4 + 9 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25070893 + ... + 25071635.

It is an arithmetic number, because the mean of its divisors is an integer number (370882512).

Almost surely, 2^18627949152 is an apocalyptic number.

18627949152 is a gapful number since it is divisible by the number (12) 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 18627949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26703540864).

18627949152 is an abundant number, since it is smaller than the sum of its proper divisors (34779132576).

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

18627949152 is a wasteful number, since it uses less digits than its factorization.

18627949152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1342 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 18627949152 in words is "eighteen billion, six hundred twenty-seven million, nine hundred forty-nine thousand, one hundred fifty-two".