18249021648 has 240 divisors, whose sum is σ = 60408216960. Its totient is φ = 5069952000.

The previous prime is 18249021631. The next prime is 18249021697. The reversal of 18249021648 is 84612094281.

18249021648 is a `hidden beast` number, since 1 + 82 + 490 + 21 + 64 + 8 = 666.

It is a super-2 number, since 2×18249021648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106458 + ... + 3112326.

It is an arithmetic number, because the mean of its divisors is an integer number (251700904).

Almost surely, 2^18249021648 is an apocalyptic number.

18249021648 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 18249021648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30204108480).

18249021648 is an abundant number, since it is smaller than the sum of its proper divisors (42159195312).

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

18249021648 is a wasteful number, since it uses less digits than its factorization.

18249021648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18249021648 in words is "eighteen billion, two hundred forty-nine million, twenty-one thousand, six hundred forty-eight".