1914919984 has 80 divisors (see below), whose sum is σ = 4010368320. Its totient is φ = 882524160.

The previous prime is 1914919973. The next prime is 1914919987. The reversal of 1914919984 is 4899194191.

It is not an unprimeable number, because it can be changed into a prime (1914919987) 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 15 ways as a sum of consecutive naturals, for example, 4422232 + ... + 4422664.

It is an arithmetic number, because the mean of its divisors is an integer number (50129604).

Almost surely, 2^1914919984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914919984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005184160).

1914919984 is an abundant number, since it is smaller than the sum of its proper divisors (2095448336).

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

1914919984 is a wasteful number, since it uses less digits than its factorization.

1914919984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its digits is 839808, while the sum is 55.

The square root of 1914919984 is about 43759.7987198296. The cubic root of 1914919984 is about 1241.7958681664.

It can be divided in two parts, 1914919 and 984, that added together give a triangular number (1915903 = T₁₉₅₇).

The spelling of 1914919984 in words is "one billion, nine hundred fourteen million, nine hundred nineteen thousand, nine hundred eighty-four".