1918350000 has 720 divisors, whose sum is σ = 8282282400. Its totient is φ = 423360000.

The previous prime is 1918349977. The next prime is 1918350001. The reversal of 1918350000 is 538191.

1918350000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (1918350001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66149986 + ... + 66150014.

It is an arithmetic number, because the mean of its divisors is an integer number (11503170).

Almost surely, 2^1918350000 is an apocalyptic number.

1918350000 is a gapful number since it is divisible by the number (10) 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 1918350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141141200).

1918350000 is an abundant number, since it is smaller than the sum of its proper divisors (6363932400).

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

1918350000 is an equidigital number, since it uses as much as digits as its factorization.

1918350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1918350000 is about 43798.9725906898. The cubic root of 1918350000 is about 1242.5368632851.

Adding to 1918350000 its reverse (538191), we get a palindrome (1918888191).

The spelling of 1918350000 in words is "one billion, nine hundred eighteen million, three hundred fifty thousand".