18408757248 has 480 divisors, whose sum is σ = 63930746880. Its totient is φ = 5169070080.

The previous prime is 18408757231. The next prime is 18408757307. The reversal of 18408757248 is 84275780481.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18408757194 and 18408757203.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 96380833 + ... + 96381023.

It is an arithmetic number, because the mean of its divisors is an integer number (133189056).

Almost surely, 2^18408757248 is an apocalyptic number.

18408757248 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 18408757248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31965373440).

18408757248 is an abundant number, since it is smaller than the sum of its proper divisors (45521989632).

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

18408757248 is an equidigital number, since it uses as much as digits as its factorization.

18408757248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 18408757248 in words is "eighteen billion, four hundred eight million, seven hundred fifty-seven thousand, two hundred forty-eight".