1468645589664 has 72 divisors (see below), whose sum is σ = 4556139168672. Its totient is φ = 445044117120.

The previous prime is 1468645589639. The next prime is 1468645589687. The reversal of 1468645589664 is 4669855468641.

1468645589664 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 4 + 558 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1468645589592 and 1468645589601.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 231790644 + ... + 231796979.

It is an arithmetic number, because the mean of its divisors is an integer number (63279710676).

Almost surely, 2^{1468645589664} is an apocalyptic number.

It is an amenable number.

1468645589664 is an abundant number, since it is smaller than the sum of its proper divisors (3087493579008).

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

1468645589664 is a wasteful number, since it uses less digits than its factorization.

1468645589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463587650 (or 463587639 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 1468645589664 in words is "one trillion, four hundred sixty-eight billion, six hundred forty-five million, five hundred eighty-nine thousand, six hundred sixty-four".