1468131072 has 72 divisors (see below), whose sum is σ = 3914006544. Its totient is φ = 488546304.

The previous prime is 1468131059. The next prime is 1468131073. The reversal of 1468131072 is 2701318641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468131073) 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 7 ways as a sum of consecutive naturals, for example, 592428 + ... + 594900.

It is an arithmetic number, because the mean of its divisors is an integer number (54361202).

Almost surely, 2^1468131072 is an apocalyptic number.

1468131072 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 1468131072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957003272).

1468131072 is an abundant number, since it is smaller than the sum of its proper divisors (2445875472).

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

1468131072 is an equidigital number, since it uses as much as digits as its factorization.

1468131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1468131072 is about 38316.1985588341. The cubic root of 1468131072 is about 1136.5492946270.

It can be divided in two parts, 14681 and 31072, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 1468131072 in words is "one billion, four hundred sixty-eight million, one hundred thirty-one thousand, seventy-two".