468543700992 has 256 divisors, whose sum is σ = 1331094492000. Its totient is φ = 146087608320.

The previous prime is 468543700943. The next prime is 468543700993. The reversal of 468543700992 is 299007345864.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468543700993) 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, 302480634 + ... + 302482182.

Almost surely, 2^468543700992 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 468543700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665547246000).

468543700992 is an abundant number, since it is smaller than the sum of its proper divisors (862550791008).

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

468543700992 is a wasteful number, since it uses less digits than its factorization.

468543700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 468543700992 in words is "four hundred sixty-eight billion, five hundred forty-three million, seven hundred thousand, nine hundred ninety-two".