468666506241024 has 352 divisors, whose sum is σ = 1537658696318976. Its totient is φ = 123586484797440.

The previous prime is 468666506241023. The next prime is 468666506241083. The reversal of 468666506241024 is 420142605666864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (468666506241023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1992249489 + ... + 1992484719.

It is an arithmetic number, because the mean of its divisors is an integer number (4368348569088).

Almost surely, 2^{468666506241024} 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 468666506241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768829348159488).

468666506241024 is an abundant number, since it is smaller than the sum of its proper divisors (1068992190077952).

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

468666506241024 is a wasteful number, since it uses less digits than its factorization.

468666506241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242401 (or 242383 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 60.

The spelling of 468666506241024 in words is "four hundred sixty-eight trillion, six hundred sixty-six billion, five hundred six million, two hundred forty-one thousand, twenty-four".