1468682889552 has 160 divisors (see below), whose sum is σ = 4251147552000. Its totient is φ = 485451878400.

The previous prime is 1468682889539. The next prime is 1468682889629. The reversal of 1468682889552 is 2559882868641.

1468682889552 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 68 + 2 + 8 + 8 + 9 + 552 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 37097224 + ... + 37136792.

It is an arithmetic number, because the mean of its divisors is an integer number (26569672200).

Almost surely, 2^{1468682889552} is an apocalyptic number.

1468682889552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468682889552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125573776000).

1468682889552 is an abundant number, since it is smaller than the sum of its proper divisors (2782464662448).

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

1468682889552 is a wasteful number, since it uses less digits than its factorization.

1468682889552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40306 (or 40294 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 72.

The spelling of 1468682889552 in words is "one trillion, four hundred sixty-eight billion, six hundred eighty-two million, eight hundred eighty-nine thousand, five hundred fifty-two".