468624805101 has 80 divisors (see below), whose sum is σ = 726882444288. Its totient is φ = 300644265600.

The previous prime is 468624805093. The next prime is 468624805123. The reversal of 468624805101 is 101508426864.

It is a happy number.

468624805101 is a `hidden beast` number, since 4 + 6 + 8 + 62 + 480 + 5 + 101 = 666.

It is not a de Polignac number, because 468624805101 - 2³ = 468624805093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468624805171) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103607026 + ... + 103611548.

Almost surely, 2^468624805101 is an apocalyptic number.

It is an amenable number.

468624805101 is a deficient number, since it is larger than the sum of its proper divisors (258257639187).

468624805101 is a wasteful number, since it uses less digits than its factorization.

468624805101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 468624805101 in words is "four hundred sixty-eight billion, six hundred twenty-four million, eight hundred five thousand, one hundred one".