1914894432 has 288 divisors, whose sum is σ = 6278598144. Its totient is φ = 569203200.

The previous prime is 1914894413. The next prime is 1914894439. The reversal of 1914894432 is 2344984191.

1914894432 is a `hidden beast` number, since 1 + 91 + 48 + 94 + 432 = 666.

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

It is a super-4 number, since 4×1914894432⁴ (a number of 38 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914894439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5217513 + ... + 5217879.

It is an arithmetic number, because the mean of its divisors is an integer number (21800688).

Almost surely, 2^1914894432 is an apocalyptic number.

1914894432 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 1914894432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139299072).

1914894432 is an abundant number, since it is smaller than the sum of its proper divisors (4363703712).

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

1914894432 is a wasteful number, since it uses less digits than its factorization.

1914894432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1914894432 is about 43759.5067613884. The cubic root of 1914894432 is about 1241.7903447835.

The spelling of 1914894432 in words is "one billion, nine hundred fourteen million, eight hundred ninety-four thousand, four hundred thirty-two".