474016503168 has 256 divisors, whose sum is σ = 1507634419200. Its totient is φ = 145753344000.

The previous prime is 474016503161. The next prime is 474016503217. The reversal of 474016503168 is 861305610474.

474016503168 is a `hidden beast` number, since 4 + 74 + 0 + 16 + 503 + 1 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474016503161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95739093 + ... + 95744043.

It is an arithmetic number, because the mean of its divisors is an integer number (5889196950).

Almost surely, 2^474016503168 is an apocalyptic number.

474016503168 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 474016503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753817209600).

474016503168 is an abundant number, since it is smaller than the sum of its proper divisors (1033617916032).

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

474016503168 is a wasteful number, since it uses less digits than its factorization.

474016503168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 474016503168 in words is "four hundred seventy-four billion, sixteen million, five hundred three thousand, one hundred sixty-eight".