468241227204608 has 1152 divisors, whose sum is σ = 1221958129392000. Its totient is φ = 176145133731840.

The previous prime is 468241227204593. The next prime is 468241227204623. The reversal of 468241227204608 is 806402722142864.

It is an interprime number because it is at equal distance from previous prime (468241227204593) and next prime (468241227204623).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 453282891260 + ... + 453282892292.

It is an arithmetic number, because the mean of its divisors is an integer number (1060727542875).

Almost surely, 2^{468241227204608} 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 468241227204608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610979064696000).

468241227204608 is an abundant number, since it is smaller than the sum of its proper divisors (753716902187392).

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

468241227204608 is a wasteful number, since it uses less digits than its factorization.

468241227204608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 56.

The spelling of 468241227204608 in words is "four hundred sixty-eight trillion, two hundred forty-one billion, two hundred twenty-seven million, two hundred four thousand, six hundred eight".