468144849024 has 256 divisors, whose sum is σ = 1394202585600. Its totient is φ = 154640424960.

The previous prime is 468144849013. The next prime is 468144849031. The reversal of 468144849024 is 420948441864.

468144849024 is a `hidden beast` number, since 4 + 6 + 8 + 144 + 8 + 490 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 191312569 + ... + 191315015.

It is an arithmetic number, because the mean of its divisors is an integer number (5446103850).

Almost surely, 2^468144849024 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 468144849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697101292800).

468144849024 is an abundant number, since it is smaller than the sum of its proper divisors (926057736576).

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

468144849024 is a wasteful number, since it uses less digits than its factorization.

468144849024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 468144849024 in words is "four hundred sixty-eight billion, one hundred forty-four million, eight hundred forty-nine thousand, twenty-four".