1864988890349 has 24 divisors (see below), whose sum is σ = 2025187214400. Its totient is φ = 1716671024640.

The previous prime is 1864988890321. The next prime is 1864988890397. The reversal of 1864988890349 is 9430988894681.

It is a de Polignac number, because none of the positive numbers 2^k-1864988890349 is a prime.

It is a super-2 number, since 2×1864988890349² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1864988890349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864988890949) 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 23 ways as a sum of consecutive naturals, for example, 224395904 + ... + 224404214.

It is an arithmetic number, because the mean of its divisors is an integer number (84382800600).

Almost surely, 2^{1864988890349} is an apocalyptic number.

It is an amenable number.

1864988890349 is a deficient number, since it is larger than the sum of its proper divisors (160198324051).

1864988890349 is a wasteful number, since it uses less digits than its factorization.

1864988890349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11925 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 77.

The spelling of 1864988890349 in words is "one trillion, eight hundred sixty-four billion, nine hundred eighty-eight million, eight hundred ninety thousand, three hundred forty-nine".