468888352128 has 192 divisors, whose sum is σ = 1599141573120. Its totient is φ = 133968038400.

The previous prime is 468888352069. The next prime is 468888352147. The reversal of 468888352128 is 821253888864.

468888352128 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 8 + 83 + 521 + 28 = 666.

468888352128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×468888352128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859048 + ... + 1294503.

It is an arithmetic number, because the mean of its divisors is an integer number (8328862360).

Almost surely, 2^468888352128 is an apocalyptic number.

468888352128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

468888352128 is an abundant number, since it is smaller than the sum of its proper divisors (1130253220992).

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

468888352128 is an equidigital number, since it uses as much as digits as its factorization.

468888352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153587 (or 2153563 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 63.

The spelling of 468888352128 in words is "four hundred sixty-eight billion, eight hundred eighty-eight million, three hundred fifty-two thousand, one hundred twenty-eight".