468170203152 has 160 divisors (see below), whose sum is σ = 1329877739520. Its totient is φ = 141262894080.

The previous prime is 468170203091. The next prime is 468170203153. The reversal of 468170203152 is 251302071864.

It is a self number, because there is not a number n which added to its sum of digits gives 468170203152.

It is not an unprimeable number, because it can be changed into a prime (468170203153) 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 31 ways as a sum of consecutive naturals, for example, 20272252 + ... + 20295332.

It is an arithmetic number, because the mean of its divisors is an integer number (8311735872).

Almost surely, 2^468170203152 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 468170203152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664938869760).

468170203152 is an abundant number, since it is smaller than the sum of its proper divisors (861707536368).

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

468170203152 is a wasteful number, since it uses less digits than its factorization.

468170203152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24101 (or 24095 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 468170203152 in words is "four hundred sixty-eight billion, one hundred seventy million, two hundred three thousand, one hundred fifty-two".