18632648160 has 384 divisors, whose sum is σ = 74755215360. Its totient is φ = 4246069248.

The previous prime is 18632648137. The next prime is 18632648179. The reversal of 18632648160 is 6184623681.

18632648160 is a `hidden beast` number, since 1 + 8 + 632 + 6 + 4 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 13093209 + ... + 13094631.

It is an arithmetic number, because the mean of its divisors is an integer number (194675040).

Almost surely, 2^18632648160 is an apocalyptic number.

18632648160 is a gapful number since it is divisible by the number (10) 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 18632648160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37377607680).

18632648160 is an abundant number, since it is smaller than the sum of its proper divisors (56122567200).

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

18632648160 is a wasteful number, since it uses less digits than its factorization.

18632648160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

It can be divided in two parts, 1863264 and 8160, that added together give a square (1871424 = 1368²).

The spelling of 18632648160 in words is "eighteen billion, six hundred thirty-two million, six hundred forty-eight thousand, one hundred sixty".