468637901001 has 24 divisors (see below), whose sum is σ = 728490174984. Its totient is φ = 289226856960.

The previous prime is 468637900919. The next prime is 468637901003. The reversal of 468637901001 is 100109736864.

It is a happy number.

468637901001 is a `hidden beast` number, since 4 + 6 + 8 + 637 + 9 + 0 + 1 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42889401 + 468595011600 = 6549^2 + 684540^2 .

It is not a de Polignac number, because 468637901001 - 2⁷ = 468637900873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468637901003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25097166 + ... + 25115831.

It is an arithmetic number, because the mean of its divisors is an integer number (30353757291).

Almost surely, 2^468637901001 is an apocalyptic number.

It is an amenable number.

468637901001 is a deficient number, since it is larger than the sum of its proper divisors (259852273983).

468637901001 is a wasteful number, since it uses less digits than its factorization.

468637901001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50213081 (or 50213078 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 468637901001 in words is "four hundred sixty-eight billion, six hundred thirty-seven million, nine hundred one thousand, one".