1468306656 has 96 divisors (see below), whose sum is σ = 4430311200. Its totient is φ = 472550400.

The previous prime is 1468306559. The next prime is 1468306657. The reversal of 1468306656 is 6566038641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468306657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4245 + ... + 54356.

It is an arithmetic number, because the mean of its divisors is an integer number (46149075).

Almost surely, 2^1468306656 is an apocalyptic number.

1468306656 is a gapful number since it is divisible by the number (16) 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 1468306656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215155600).

1468306656 is an abundant number, since it is smaller than the sum of its proper divisors (2962004544).

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

1468306656 is a wasteful number, since it uses less digits than its factorization.

1468306656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58649 (or 58635 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1468306656 is about 38318.4897405939. The cubic root of 1468306656 is about 1136.5946020976.

The spelling of 1468306656 in words is "one billion, four hundred sixty-eight million, three hundred six thousand, six hundred fifty-six".