468024632109441 has 64 divisors (see below), whose sum is σ = 774307253744640. Its totient is φ = 276942699976320.

The previous prime is 468024632109407. The next prime is 468024632109467. The reversal of 468024632109441 is 144901236420864.

468024632109441 is a `hidden beast` number, since 4 + 6 + 80 + 2 + 463 + 2 + 10 + 94 + 4 + 1 = 666.

It is not a de Polignac number, because 468024632109441 - 2²³ = 468024623720833 is a prime.

It is a super-2 number, since 2×468024632109441² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (468024632109841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24173170 + ... + 38992196.

It is an arithmetic number, because the mean of its divisors is an integer number (12098550839760).

Almost surely, 2^{468024632109441} is an apocalyptic number.

It is an amenable number.

468024632109441 is a deficient number, since it is larger than the sum of its proper divisors (306282621635199).

468024632109441 is a wasteful number, since it uses less digits than its factorization.

468024632109441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821563 (or 14821557 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 468024632109441 in words is "four hundred sixty-eight trillion, twenty-four billion, six hundred thirty-two million, one hundred nine thousand, four hundred forty-one".