468158883408 has 240 divisors, whose sum is σ = 1423190308800. Its totient is φ = 146938406400.

The previous prime is 468158883337. The next prime is 468158883443. The reversal of 468158883408 is 804388851864.

468158883408 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 588 + 8 + 3 + 40 + 8 = 666.

It is a super-2 number, since 2×468158883408² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268901418 + ... + 268903158.

It is an arithmetic number, because the mean of its divisors is an integer number (5929959620).

Almost surely, 2^468158883408 is an apocalyptic number.

468158883408 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 468158883408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711595154400).

468158883408 is an abundant number, since it is smaller than the sum of its proper divisors (955031425392).

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

468158883408 is a wasteful number, since it uses less digits than its factorization.

468158883408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 1946 counting only the distinct ones).

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

The spelling of 468158883408 in words is "four hundred sixty-eight billion, one hundred fifty-eight million, eight hundred eighty-three thousand, four hundred eight".