18103360923648 has 3840 divisors, whose sum is σ = 78970455083520. Its totient is φ = 4008066416640.

The previous prime is 18103360923601. The next prime is 18103360923649. The reversal of 18103360923648 is 84632906330181.

18103360923648 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 3 + 3 + 609 + 23 + 6 + 4 + 8 = 666.

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 = 18103360923594 and 18103360923603.

It is not an unprimeable number, because it can be changed into a prime (18103360923649) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 341572847590 + ... + 341572847642.

It is an arithmetic number, because the mean of its divisors is an integer number (20565222678).

Almost surely, 2^{18103360923648} is an apocalyptic number.

18103360923648 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 18103360923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39485227541760).

18103360923648 is an abundant number, since it is smaller than the sum of its proper divisors (60867094159872).

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

18103360923648 is a wasteful number, since it uses less digits than its factorization.

18103360923648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 18103360923648 in words is "eighteen trillion, one hundred three billion, three hundred sixty million, nine hundred twenty-three thousand, six hundred forty-eight".