468181950483456 has 352 divisors, whose sum is σ = 1523458454649600. Its totient is φ = 140852634255360.

The previous prime is 468181950483449. The next prime is 468181950483469. The reversal of 468181950483456 is 654384059181864.

468181950483456 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 8 + 1 + 95 + 0 + 4 + 83 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36736296 + ... + 47811288.

Almost surely, 2^{468181950483456} 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 468181950483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761729227324800).

468181950483456 is an abundant number, since it is smaller than the sum of its proper divisors (1055276504166144).

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

468181950483456 is a wasteful number, since it uses less digits than its factorization.

468181950483456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075172 (or 11075148 counting only the distinct ones).

The product of its (nonzero) digits is 796262400, while the sum is 72.

The spelling of 468181950483456 in words is "four hundred sixty-eight trillion, one hundred eighty-one billion, nine hundred fifty million, four hundred eighty-three thousand, four hundred fifty-six".