1909393348864 has 81 divisors (see below), whose sum is σ = 3872066590497. Its totient is φ = 939717875712.

The previous prime is 1909393348861. The next prime is 1909393348879. The reversal of 1909393348864 is 4688433939091.

The square root of 1909393348864 is 1381808.

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., 1549009246464 + 360384102400 = 1244592^2 + 600320^2 .

It is a Harshad number since it is a multiple of its sum of digits (67).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1909393348864.

It is not an unprimeable number, because it can be changed into a prime (1909393348861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1481297532 + ... + 1481298820.

Almost surely, 2^{1909393348864} is an apocalyptic number.

1909393348864 is the 1381808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1909393348864

1909393348864 is an abundant number, since it is smaller than the sum of its proper divisors (1962673241633).

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

1909393348864 is an frugal number, since it uses more digits than its factorization.

1909393348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 67.

The spelling of 1909393348864 in words is "one trillion, nine hundred nine billion, three hundred ninety-three million, three hundred forty-eight thousand, eight hundred sixty-four".