468887626788864 has 52 divisors (see below), whose sum is σ = 1250214372112056. Its totient is φ = 156295875592192.

The previous prime is 468887626788829. The next prime is 468887626788947.

468887626788864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (96).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19079074089 + ... + 19079098664.

It is an arithmetic number, because the mean of its divisors is an integer number (24042584079078).

Almost surely, 2^{468887626788864} is an apocalyptic number.

It is an amenable number.

468887626788864 is an abundant number, since it is smaller than the sum of its proper divisors (781326745323192).

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

468887626788864 is an equidigital number, since it uses as much as digits as its factorization.

468887626788864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38158172780 (or 38158172758 counting only the distinct ones).

The product of its digits is 532710162432, while the sum is 96.

The spelling of 468887626788864 in words is "four hundred sixty-eight trillion, eight hundred eighty-seven billion, six hundred twenty-six million, seven hundred eighty-eight thousand, eight hundred sixty-four".