1019320193664 has 96 divisors (see below), whose sum is σ = 3105741274740. Its totient is φ = 319786721280.

The previous prime is 1019320193659. The next prime is 1019320193707. The reversal of 1019320193664 is 4663910239101.

It can be written as a sum of positive squares in 2 ways, for example, as 1012921473600 + 6398720064 = 1006440^2 + 79992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1019320193664² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 26004727 + ... + 26043894.

Almost surely, 2^{1019320193664} is an apocalyptic number.

It is an amenable number.

1019320193664 is an abundant number, since it is smaller than the sum of its proper divisors (2086421081076).

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

1019320193664 is a wasteful number, since it uses less digits than its factorization.

1019320193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52048658 (or 52048643 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 1019320193664 in words is "one trillion, nineteen billion, three hundred twenty million, one hundred ninety-three thousand, six hundred sixty-four".