18648225792 has 288 divisors, whose sum is σ = 64801900800. Its totient is φ = 5046976512.

The previous prime is 18648225751. The next prime is 18648225809. The reversal of 18648225792 is 29752284681.

18648225792 is a `hidden beast` number, since 1 + 8 + 6 + 48 + 22 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 2447653 + ... + 2455259.

It is an arithmetic number, because the mean of its divisors is an integer number (225006600).

Almost surely, 2^18648225792 is an apocalyptic number.

18648225792 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 18648225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32400950400).

18648225792 is an abundant number, since it is smaller than the sum of its proper divisors (46153675008).

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

18648225792 is a wasteful number, since it uses less digits than its factorization.

18648225792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7661 (or 7638 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 18648225792 in words is "eighteen billion, six hundred forty-eight million, two hundred twenty-five thousand, seven hundred ninety-two".