467159985656 has 128 divisors (see below), whose sum is σ = 1099787673600. Its totient is φ = 181094883840.

The previous prime is 467159985637. The next prime is 467159985679. The reversal of 467159985656 is 656589951764.

It is a super-3 number, since 3×467159985656³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 467159985656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32364761 + ... + 32379191.

It is an arithmetic number, because the mean of its divisors is an integer number (8592091200).

Almost surely, 2^467159985656 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 467159985656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549893836800).

467159985656 is an abundant number, since it is smaller than the sum of its proper divisors (632627687944).

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

467159985656 is a wasteful number, since it uses less digits than its factorization.

467159985656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15349 (or 15345 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 71.

The spelling of 467159985656 in words is "four hundred sixty-seven billion, one hundred fifty-nine million, nine hundred eighty-five thousand, six hundred fifty-six".