1919133216 has 576 divisors, whose sum is σ = 7673823360. Its totient is φ = 458680320.

The previous prime is 1919133191. The next prime is 1919133241. The reversal of 1919133216 is 6123319191.

It is an interprime number because it is at equal distance from previous prime (1919133191) and next prime (1919133241).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 95 ways as a sum of consecutive naturals, for example, 6053890 + ... + 6054206.

It is an arithmetic number, because the mean of its divisors is an integer number (13322610).

Almost surely, 2^1919133216 is an apocalyptic number.

1919133216 is a gapful number since it is divisible by the number (16) 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 1919133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836911680).

1919133216 is an abundant number, since it is smaller than the sum of its proper divisors (5754690144).

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

1919133216 is a wasteful number, since it uses less digits than its factorization.

1919133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 1919133216 is about 43807.9127099203. The cubic root of 1919133216 is about 1242.7059395469.

The spelling of 1919133216 in words is "one billion, nine hundred nineteen million, one hundred thirty-three thousand, two hundred sixteen".