468857930915232 has 672 divisors, whose sum is σ = 1421958401740800. Its totient is φ = 152066251653120.

The previous prime is 468857930915167. The next prime is 468857930915239. The reversal of 468857930915232 is 232519039758864.

468857930915232 is a `hidden beast` number, since 4 + 6 + 8 + 8 + 5 + 7 + 9 + 3 + 0 + 91 + 523 + 2 = 666.

It is a super-2 number, since 2×468857930915232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (468857930915239) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40597269394 + ... + 40597280942.

It is an arithmetic number, because the mean of its divisors is an integer number (2116009526400).

It is a 1-persistent number, because it is pandigital, but 2⋅468857930915232 = 937715861830464 is not.

Almost surely, 2^{468857930915232} 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 468857930915232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710979200870400).

468857930915232 is an abundant number, since it is smaller than the sum of its proper divisors (953100470825568).

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

468857930915232 is a wasteful number, since it uses less digits than its factorization.

468857930915232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 468857930915232 in words is "four hundred sixty-eight trillion, eight hundred fifty-seven billion, nine hundred thirty million, nine hundred fifteen thousand, two hundred thirty-two".