18001529114016 has 288 divisors, whose sum is σ = 55928489722560. Its totient is φ = 5053689446400.

The previous prime is 18001529114011. The next prime is 18001529114017. The reversal of 18001529114016 is 61041192510081.

It is not an unprimeable number, because it can be changed into a prime (18001529114011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278590320 + ... + 278654928.

It is an arithmetic number, because the mean of its divisors is an integer number (194196144870).

Almost surely, 2^{18001529114016} is an apocalyptic number.

18001529114016 is a gapful number since it is divisible by the number (16) 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 18001529114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27964244861280).

18001529114016 is an abundant number, since it is smaller than the sum of its proper divisors (37926960608544).

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

18001529114016 is a wasteful number, since it uses less digits than its factorization.

18001529114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65668 (or 65653 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 18001529114016 in words is "eighteen trillion, one billion, five hundred twenty-nine million, one hundred fourteen thousand, sixteen".