4531947984 has 60 divisors (see below), whose sum is σ = 12688000416. Its totient is φ = 1510072896.

The previous prime is 4531947983. The next prime is 4531948007. The reversal of 4531947984 is 4897491354.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4531947984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4531947983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 552199 + ... + 560345.

Almost surely, 2^4531947984 is an apocalyptic number.

It is an amenable number.

4531947984 is an abundant number, since it is smaller than the sum of its proper divisors (8156052432).

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

4531947984 is a wasteful number, since it uses less digits than its factorization.

4531947984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12024 (or 12015 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4531947984 is about 67319.7443845414. The cubic root of 4531947984 is about 1654.8614487141.

The spelling of 4531947984 in words is "four billion, five hundred thirty-one million, nine hundred forty-seven thousand, nine hundred eighty-four".