468473217081408 has 1120 divisors, whose sum is σ = 1736872538480640. Its totient is φ = 121295228682240.

The previous prime is 468473217081361. The next prime is 468473217081449. The reversal of 468473217081408 is 804180712374864.

468473217081408 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 7 + 3 + 217 + 0 + 8 + 1 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 236722190563 + ... + 236722192541.

Almost surely, 2^{468473217081408} is an apocalyptic number.

468473217081408 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 468473217081408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868436269240320).

468473217081408 is an abundant number, since it is smaller than the sum of its proper divisors (1268399321399232).

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

468473217081408 is a wasteful number, since it uses less digits than its factorization.

468473217081408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 468473217081408 in words is "four hundred sixty-eight trillion, four hundred seventy-three billion, two hundred seventeen million, eighty-one thousand, four hundred eight".