18499248768 has 1024 divisors, whose sum is σ = 74027520000. Its totient is φ = 3928227840.

The previous prime is 18499248767. The next prime is 18499248769. The reversal of 18499248768 is 86784299481.

It is an interprime number because it is at equal distance from previous prime (18499248767) and next prime (18499248769).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 18499248699 and 18499248708.

It is not an unprimeable number, because it can be changed into a prime (18499248767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124155958 + ... + 124156106.

It is an arithmetic number, because the mean of its divisors is an integer number (72292500).

Almost surely, 2^18499248768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18499248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

18499248768 is an abundant number, since it is smaller than the sum of its proper divisors (55528271232).

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

18499248768 is a wasteful number, since it uses less digits than its factorization.

18499248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 66.

The spelling of 18499248768 in words is "eighteen billion, four hundred ninety-nine million, two hundred forty-eight thousand, seven hundred sixty-eight".