1914314688 has 448 divisors, whose sum is σ = 6772899840. Its totient is φ = 522547200.

The previous prime is 1914314629. The next prime is 1914314693. The reversal of 1914314688 is 8864134191.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15073281 + ... + 15073407.

It is an arithmetic number, because the mean of its divisors is an integer number (15118080).

Almost surely, 2^1914314688 is an apocalyptic number.

1914314688 is a gapful number since it is divisible by the number (18) 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 1914314688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386449920).

1914314688 is an abundant number, since it is smaller than the sum of its proper divisors (4858585152).

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

1914314688 is a wasteful number, since it uses less digits than its factorization.

1914314688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1914314688 is about 43752.8820536430. The cubic root of 1914314688 is about 1241.6650126929.

The spelling of 1914314688 in words is "one billion, nine hundred fourteen million, three hundred fourteen thousand, six hundred eighty-eight".