18801003408768 has 2048 divisors, whose sum is σ = 71156662272000. Its totient is φ = 4769213644800.

The previous prime is 18801003408767. The next prime is 18801003408827. The reversal of 18801003408768 is 86780430010881.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18801003408767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56800614363 + ... + 56800614693.

It is an arithmetic number, because the mean of its divisors is an integer number (34744464000).

Almost surely, 2^{18801003408768} is an apocalyptic number.

18801003408768 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 18801003408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35578331136000).

18801003408768 is an abundant number, since it is smaller than the sum of its proper divisors (52355658863232).

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

18801003408768 is a wasteful number, since it uses less digits than its factorization.

18801003408768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 18801003408768 in words is "eighteen trillion, eight hundred one billion, three million, four hundred eight thousand, seven hundred sixty-eight".