468375443228160 has 3200 divisors, whose sum is σ = 1960040245895424. Its totient is φ = 105865952624640.

The previous prime is 468375443228153. The next prime is 468375443228183. The reversal of 468375443228160 is 61822344573864.

468375443228160 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 7 + 5 + 443 + 2 + 28 + 160 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 382972561309 + ... + 382972562531.

Almost surely, 2^{468375443228160} is an apocalyptic number.

468375443228160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468375443228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980020122947712).

468375443228160 is an abundant number, since it is smaller than the sum of its proper divisors (1491664802667264).

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

468375443228160 is a wasteful number, since it uses less digits than its factorization.

468375443228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 468375443228160 in words is "four hundred sixty-eight trillion, three hundred seventy-five billion, four hundred forty-three million, two hundred twenty-eight thousand, one hundred sixty".