4538649984 has 384 divisors, whose sum is σ = 14377789440. Its totient is φ = 1263820800.

The previous prime is 4538649977. The next prime is 4538650003. The reversal of 4538649984 is 4899468354.

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

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, 33128764 + ... + 33128900.

It is an arithmetic number, because the mean of its divisors is an integer number (37442160).

Almost surely, 2^4538649984 is an apocalyptic number.

4538649984 is a gapful number since it is divisible by the number (44) 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 4538649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188894720).

4538649984 is an abundant number, since it is smaller than the sum of its proper divisors (9839139456).

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

4538649984 is a wasteful number, since it uses less digits than its factorization.

4538649984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 60.

The square root of 4538649984 is about 67369.5033676218. The cubic root of 4538649984 is about 1655.6768021974.

The spelling of 4538649984 in words is "four billion, five hundred thirty-eight million, six hundred forty-nine thousand, nine hundred eighty-four".