468711155328 has 512 divisors, whose sum is σ = 1452913459200. Its totient is φ = 132765696000.

The previous prime is 468711155317. The next prime is 468711155347. The reversal of 468711155328 is 823551117864.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318633633 + ... + 318635103.

It is an arithmetic number, because the mean of its divisors is an integer number (2837721600).

Almost surely, 2^468711155328 is an apocalyptic number.

468711155328 is a gapful number since it is divisible by the number (48) 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 468711155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726456729600).

468711155328 is an abundant number, since it is smaller than the sum of its proper divisors (984202303872).

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

468711155328 is a wasteful number, since it uses less digits than its factorization.

468711155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1620 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 51.

The spelling of 468711155328 in words is "four hundred sixty-eight billion, seven hundred eleven million, one hundred fifty-five thousand, three hundred twenty-eight".