1914145800 has 384 divisors, whose sum is σ = 7070976000. Its totient is φ = 428064000.

The previous prime is 1914145789. The next prime is 1914145801. The reversal of 1914145800 is 85414191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914145801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14611735 + ... + 14611865.

It is an arithmetic number, because the mean of its divisors is an integer number (18414000).

Almost surely, 2^1914145800 is an apocalyptic number.

1914145800 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 1914145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3535488000).

1914145800 is an abundant number, since it is smaller than the sum of its proper divisors (5156830200).

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

1914145800 is a wasteful number, since it uses less digits than its factorization.

1914145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1914145800 is about 43750.9519896425. The cubic root of 1914145800 is about 1241.6284968422.

Adding to 1914145800 its reverse (85414191), we get a palindrome (1999559991).

The spelling of 1914145800 in words is "one billion, nine hundred fourteen million, one hundred forty-five thousand, eight hundred".