1914867864 has 240 divisors, whose sum is σ = 6720436800. Its totient is φ = 504911232.

The previous prime is 1914867863. The next prime is 1914867869. The reversal of 1914867864 is 4687684191.

1914867864 is a `hidden beast` number, since 1 + 91 + 486 + 78 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 1914867864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914867863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 410457 + ... + 415095.

It is an arithmetic number, because the mean of its divisors is an integer number (28001820).

Almost surely, 2^1914867864 is an apocalyptic number.

1914867864 is a gapful number since it is divisible by the number (14) 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 1914867864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360218400).

1914867864 is an abundant number, since it is smaller than the sum of its proper divisors (4805568936).

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

1914867864 is a wasteful number, since it uses less digits than its factorization.

1914867864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4684 (or 4664 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1914867864 is about 43759.2031920144. The cubic root of 1914867864 is about 1241.7846017274.

The spelling of 1914867864 in words is "one billion, nine hundred fourteen million, eight hundred sixty-seven thousand, eight hundred sixty-four".