18013034016 has 432 divisors, whose sum is σ = 57827165760. Its totient is φ = 5508518400.

The previous prime is 18013033991. The next prime is 18013034027. The reversal of 18013034016 is 61043031081.

18013034016 is a `hidden beast` number, since 180 + 130 + 340 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119291541 + ... + 119291691.

It is an arithmetic number, because the mean of its divisors is an integer number (133859180).

Almost surely, 2^18013034016 is an apocalyptic number.

18013034016 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 18013034016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28913582880).

18013034016 is an abundant number, since it is smaller than the sum of its proper divisors (39814131744).

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

18013034016 is a wasteful number, since it uses less digits than its factorization.

18013034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 18013034016 its reverse (61043031081), we get a palindrome (79056065097).

The spelling of 18013034016 in words is "eighteen billion, thirteen million, thirty-four thousand, sixteen".