4631478912 has 384 divisors, whose sum is σ = 15437822400. Its totient is φ = 1373552640.

The previous prime is 4631478911. The next prime is 4631478923. The reversal of 4631478912 is 2198741364.

4631478912 is a `hidden beast` number, since 4 + 631 + 4 + 7 + 8 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4631478911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10046362 + ... + 10046822.

Almost surely, 2^4631478912 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 4631478912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718911200).

4631478912 is an abundant number, since it is smaller than the sum of its proper divisors (10806343488).

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

4631478912 is a wasteful number, since it uses less digits than its factorization.

4631478912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 502 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 4631478912 is about 68054.9697817874. The cubic root of 4631478912 is about 1666.8885510102. Note that the first 3 decimals are identical.

The spelling of 4631478912 in words is "four billion, six hundred thirty-one million, four hundred seventy-eight thousand, nine hundred twelve".