1919488327936 has 81 divisors (see below), whose sum is σ = 3866799760509. Its totient is φ = 950976998400.

The previous prime is 1919488327919. The next prime is 1919488327997. The reversal of 1919488327936 is 6397238849191.

It is a happy number.

The square root of 1919488327936 is 1385456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1524098887936 + 395389440000 = 1234544^2 + 628800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2903915446 + ... + 2903916106.

Almost surely, 2^{1919488327936} is an apocalyptic number.

1919488327936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1919488327936 is the 1385456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1919488327936

1919488327936 is an abundant number, since it is smaller than the sum of its proper divisors (1947311432573).

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

1919488327936 is an frugal number, since it uses more digits than its factorization.

1919488327936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 794 counting only the distinct ones).

The product of its digits is 141087744, while the sum is 70.

The spelling of 1919488327936 in words is "one trillion, nine hundred nineteen billion, four hundred eighty-eight million, three hundred twenty-seven thousand, nine hundred thirty-six".