468820576512 has 288 divisors, whose sum is σ = 1409033525760. Its totient is φ = 155657852928.

The previous prime is 468820576489. The next prime is 468820576529. The reversal of 468820576512 is 215675028864.

468820576512 is a `hidden beast` number, since 4 + 68 + 8 + 2 + 0 + 576 + 5 + 1 + 2 = 666.

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

It is a super-2 number, since 2×468820576512² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155083033 + ... + 155086055.

It is an arithmetic number, because the mean of its divisors is an integer number (4892477520).

Almost surely, 2^468820576512 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 468820576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704516762880).

468820576512 is an abundant number, since it is smaller than the sum of its proper divisors (940212949248).

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

468820576512 is an frugal number, since it uses more digits than its factorization.

468820576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 468820576512 in words is "four hundred sixty-eight billion, eight hundred twenty million, five hundred seventy-six thousand, five hundred twelve".