1919964816 has 160 divisors (see below), whose sum is σ = 6870988800. Its totient is φ = 498683520.

The previous prime is 1919964773. The next prime is 1919964841. The reversal of 1919964816 is 6184699191.

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 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 31 ways as a sum of consecutive naturals, for example, 4405 + ... + 62123.

It is an arithmetic number, because the mean of its divisors is an integer number (42943680).

Almost surely, 2^1919964816 is an apocalyptic number.

1919964816 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 1919964816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435494400).

1919964816 is an abundant number, since it is smaller than the sum of its proper divisors (4951023984).

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

1919964816 is a wasteful number, since it uses less digits than its factorization.

1919964816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57754 (or 57742 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 1919964816 is about 43817.4031179393. The cubic root of 1919964816 is about 1242.8854103304.

The spelling of 1919964816 in words is "one billion, nine hundred nineteen million, nine hundred sixty-four thousand, eight hundred sixteen".