418907478168 has 192 divisors, whose sum is σ = 1244727792000. Its totient is φ = 130457017152.

The previous prime is 418907478097. The next prime is 418907478173. The reversal of 418907478168 is 861874709814.

418907478168 is a `hidden beast` number, since 4 + 18 + 90 + 7 + 478 + 1 + 68 = 666.

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, 4870723 + ... + 4955981.

It is an arithmetic number, because the mean of its divisors is an integer number (6482957250).

Almost surely, 2^418907478168 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 418907478168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622363896000).

418907478168 is an abundant number, since it is smaller than the sum of its proper divisors (825820313832).

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

418907478168 is a wasteful number, since it uses less digits than its factorization.

418907478168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85363 (or 85330 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 418907478168 in words is "four hundred eighteen billion, nine hundred seven million, four hundred seventy-eight thousand, one hundred sixty-eight".