1330583001664 has 84 divisors (see below), whose sum is σ = 3071791729404. Its totient is φ = 570187785216.

The previous prime is 1330583001577. The next prime is 1330583001677. The reversal of 1330583001664 is 4661003850331.

It can be written as a sum of positive squares in 2 ways, for example, as 399373441600 + 931209560064 = 631960^2 + 964992^2 .

It is a super-2 number, since 2×1330583001664² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39663042 + ... + 39696574.

Almost surely, 2^{1330583001664} is an apocalyptic number.

1330583001664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1330583001664 is an abundant number, since it is smaller than the sum of its proper divisors (1741208727740).

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

1330583001664 is a wasteful number, since it uses less digits than its factorization.

1330583001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46212 (or 46195 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

Adding to 1330583001664 its reverse (4661003850331), we get a palindrome (5991586851995).

The spelling of 1330583001664 in words is "one trillion, three hundred thirty billion, five hundred eighty-three million, one thousand, six hundred sixty-four".