2018274734160 has 320 divisors, whose sum is σ = 7074358283520. Its totient is φ = 528802560000.

The previous prime is 2018274734143. The next prime is 2018274734173. The reversal of 2018274734160 is 614374728102.

2018274734160 is a `hidden beast` number, since 2 + 0 + 1 + 82 + 7 + 473 + 41 + 60 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28543650 + ... + 28614270.

It is an arithmetic number, because the mean of its divisors is an integer number (22107369636).

Almost surely, 2^{2018274734160} is an apocalyptic number.

2018274734160 is a gapful number since it is divisible by the number (20) 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 2018274734160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537179141760).

2018274734160 is an abundant number, since it is smaller than the sum of its proper divisors (5056083549360).

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

2018274734160 is a wasteful number, since it uses less digits than its factorization.

2018274734160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70875 (or 70863 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2018274734160 in words is "two trillion, eighteen billion, two hundred seventy-four million, seven hundred thirty-four thousand, one hundred sixty".