468625566816 has 288 divisors, whose sum is σ = 1525138917120. Its totient is φ = 135177907200.

The previous prime is 468625566769. The next prime is 468625566817. The reversal of 468625566816 is 618665526864.

It is a happy number.

468625566816 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 2 + 556 + 68 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468625566817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6486991 + ... + 6558833.

It is an arithmetic number, because the mean of its divisors is an integer number (5295621240).

Almost surely, 2^468625566816 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 468625566816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762569458560).

468625566816 is an abundant number, since it is smaller than the sum of its proper divisors (1056513350304).

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

468625566816 is a wasteful number, since it uses less digits than its factorization.

468625566816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71970 (or 71959 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 468625566816 in words is "four hundred sixty-eight billion, six hundred twenty-five million, five hundred sixty-six thousand, eight hundred sixteen".