1918727712 has 288 divisors, whose sum is σ = 6580828800. Its totient is φ = 523100160.

The previous prime is 1918727669. The next prime is 1918727719. The reversal of 1918727712 is 2177278191.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (1918727719) 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, 1237914 + ... + 1239462.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 2^1918727712 is an apocalyptic number.

1918727712 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 1918727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290414400).

1918727712 is an abundant number, since it is smaller than the sum of its proper divisors (4662101088).

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

1918727712 is a wasteful number, since it uses less digits than its factorization.

1918727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1605 counting only the distinct ones).

The product of its digits is 98784, while the sum is 45.

The square root of 1918727712 is about 43803.2842604296. The cubic root of 1918727712 is about 1242.6184073698.

The spelling of 1918727712 in words is "one billion, nine hundred eighteen million, seven hundred twenty-seven thousand, seven hundred twelve".