1468921608 has 576 divisors, whose sum is σ = 5531097600. Its totient is φ = 359251200.

The previous prime is 1468921591. The next prime is 1468921613. The reversal of 1468921608 is 8061298641.

1468921608 is a `hidden beast` number, since 14 + 6 + 8 + 9 + 21 + 608 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 39700566 + ... + 39700602.

It is an arithmetic number, because the mean of its divisors is an integer number (9602600).

Almost surely, 2^1468921608 is an apocalyptic number.

1468921608 is a gapful number since it is divisible by the number (18) 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 1468921608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765548800).

1468921608 is an abundant number, since it is smaller than the sum of its proper divisors (4062175992).

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

1468921608 is a wasteful number, since it uses less digits than its factorization.

1468921608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1468921608 is about 38326.5131208149. The cubic root of 1468921608 is about 1136.7532550525.

The spelling of 1468921608 in words is "one billion, four hundred sixty-eight million, nine hundred twenty-one thousand, six hundred eight".