18018346752 has 576 divisors, whose sum is σ = 64612638720. Its totient is φ = 4843929600.

The previous prime is 18018346727. The next prime is 18018346757. The reversal of 18018346752 is 25764381081.

18018346752 is a `hidden beast` number, since 1 + 8 + 0 + 183 + 467 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 18018346698 and 18018346707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18018346757) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61495918 + ... + 61496210.

It is an arithmetic number, because the mean of its divisors is an integer number (112174720).

Almost surely, 2^18018346752 is an apocalyptic number.

18018346752 is a gapful number since it is divisible by the number (12) 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 18018346752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32306319360).

18018346752 is an abundant number, since it is smaller than the sum of its proper divisors (46594291968).

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

18018346752 is a wasteful number, since it uses less digits than its factorization.

18018346752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18018346752 in words is "eighteen billion, eighteen million, three hundred forty-six thousand, seven hundred fifty-two".