4598748000 has 1152 divisors, whose sum is σ = 21511526400. Its totient is φ = 943488000.

The previous prime is 4598747969. The next prime is 4598748023. The reversal of 4598748000 is 8478954.

It is a super-2 number, since 2×4598748000² = 42296966335008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 58211961 + ... + 58212039.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 2^4598748000 is an apocalyptic number.

4598748000 is a gapful number since it is divisible by the number (40) 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 4598748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755763200).

4598748000 is an abundant number, since it is smaller than the sum of its proper divisors (16912778400).

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

4598748000 is a wasteful number, since it uses less digits than its factorization.

4598748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 4598748000 is about 67814.0693366797. The cubic root of 4598748000 is about 1662.9526006874.

The spelling of 4598748000 in words is "four billion, five hundred ninety-eight million, seven hundred forty-eight thousand".