468304533363006 has 96 divisors (see below), whose sum is σ = 1053081209482848. Its totient is φ = 155976731136000.

The previous prime is 468304533362969. The next prime is 468304533363019. The reversal of 468304533363006 is 600363335403864.

468304533363006 is a `hidden beast` number, since 46 + 8 + 3 + 0 + 4 + 533 + 3 + 63 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3776557006 + ... + 3776681006.

It is an arithmetic number, because the mean of its divisors is an integer number (10969595932113).

Almost surely, 2^{468304533363006} is an apocalyptic number.

468304533363006 is an abundant number, since it is smaller than the sum of its proper divisors (584776676119842).

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

468304533363006 is a wasteful number, since it uses less digits than its factorization.

468304533363006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130168 (or 130156 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 468304533363006 in words is "four hundred sixty-eight trillion, three hundred four billion, five hundred thirty-three million, three hundred sixty-three thousand, six".