474624315648 has 216 divisors, whose sum is σ = 1617884049600. Its totient is φ = 130930716672.

The previous prime is 474624315629. The next prime is 474624315673. The reversal of 474624315648 is 846513426474.

474624315648 is a `hidden beast` number, since 4 + 7 + 4 + 624 + 3 + 1 + 5 + 6 + 4 + 8 = 666.

It is a super-3 number, since 3×474624315648³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 474624315594 and 474624315603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39678 + ... + 975101.

Almost surely, 2^474624315648 is an apocalyptic number.

474624315648 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 474624315648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808942024800).

474624315648 is an abundant number, since it is smaller than the sum of its proper divisors (1143259733952).

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

474624315648 is a wasteful number, since it uses less digits than its factorization.

474624315648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014837 (or 1014820 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 474624315648 in words is "four hundred seventy-four billion, six hundred twenty-four million, three hundred fifteen thousand, six hundred forty-eight".