462017968456 has 64 divisors (see below), whose sum is σ = 952939080000. Its totient is φ = 208257404160.

The previous prime is 462017968429. The next prime is 462017968507. The reversal of 462017968456 is 654869710264.

It is a super-2 number, since 2×462017968456² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 462017968456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6999495 + ... + 7065193.

It is an arithmetic number, because the mean of its divisors is an integer number (14889673125).

Almost surely, 2^462017968456 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 462017968456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476469540000).

462017968456 is an abundant number, since it is smaller than the sum of its proper divisors (490921111544).

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

462017968456 is a wasteful number, since it uses less digits than its factorization.

462017968456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66382 (or 66378 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 462017968456 in words is "four hundred sixty-two billion, seventeen million, nine hundred sixty-eight thousand, four hundred fifty-six".