5104461984 has 192 divisors, whose sum is σ = 14345920512. Its totient is φ = 1586304000.

The previous prime is 5104461979. The next prime is 5104462003. The reversal of 5104461984 is 4891644015.

It is a super-2 number, since 2×5104461984² = 52111064292202432512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16626759 + ... + 16627065.

It is an arithmetic number, because the mean of its divisors is an integer number (74718336).

Almost surely, 2^5104461984 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 5104461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172960256).

5104461984 is an abundant number, since it is smaller than the sum of its proper divisors (9241458528).

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

5104461984 is a wasteful number, since it uses less digits than its factorization.

5104461984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 5104461984 is about 71445.5175920785. The cubic root of 5104461984 is about 1721.8024623639.

The spelling of 5104461984 in words is "five billion, one hundred four million, four hundred sixty-one thousand, nine hundred eighty-four".