1468141664 has 48 divisors (see below), whose sum is σ = 3171525840. Its totient is φ = 663452160.

The previous prime is 1468141639. The next prime is 1468141667. The reversal of 1468141664 is 4661418641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468141667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48842 + ... + 72950.

It is an arithmetic number, because the mean of its divisors is an integer number (66073455).

Almost surely, 2^1468141664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468141664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585762920).

1468141664 is an abundant number, since it is smaller than the sum of its proper divisors (1703384176).

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

1468141664 is a wasteful number, since it uses less digits than its factorization.

1468141664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24303 (or 24295 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 1468141664 is about 38316.3367768893. The cubic root of 1468141664 is about 1136.5520278755.

The spelling of 1468141664 in words is "one billion, four hundred sixty-eight million, one hundred forty-one thousand, six hundred sixty-four".