18074734272 has 252 divisors, whose sum is σ = 60665136480. Its totient is φ = 5130058752.

The previous prime is 18074734261. The next prime is 18074734273. The reversal of 18074734272 is 27243747081.

18074734272 is a `hidden beast` number, since 180 + 7 + 47 + 3 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×18074734272² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (18074734273) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4429129 + ... + 4433207.

Almost surely, 2^18074734272 is an apocalyptic number.

18074734272 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 18074734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30332568240).

18074734272 is an abundant number, since it is smaller than the sum of its proper divisors (42590402208).

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

18074734272 is a wasteful number, since it uses less digits than its factorization.

18074734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 18074734272 in words is "eighteen billion, seventy-four million, seven hundred thirty-four thousand, two hundred seventy-two".