1914160000 has 160 divisors (see below), whose sum is σ = 4846636080. Its totient is φ = 752640000.

The previous prime is 1914159983. The next prime is 1914160013. The reversal of 1914160000 is 614191.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 5679832 + ... + 5680168.

Almost surely, 2^1914160000 is an apocalyptic number.

1914160000 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 1914160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423318040).

1914160000 is an abundant number, since it is smaller than the sum of its proper divisors (2932476080).

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

1914160000 is an frugal number, since it uses more digits than its factorization.

1914160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1914160000 is about 43751.1142715246. The cubic root of 1914160000 is about 1241.6315671554.

Adding to 1914160000 its reverse (614191), we get a palindrome (1914774191).

The spelling of 1914160000 in words is "one billion, nine hundred fourteen million, one hundred sixty thousand".