4590858816 has 112 divisors (see below), whose sum is σ = 13659307200. Its totient is φ = 1511801856.

The previous prime is 4590858791. The next prime is 4590858829. The reversal of 4590858816 is 6188580954.

It is a happy number.

4590858816 is a `hidden beast` number, since 4 + 59 + 0 + 8 + 588 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127420 + ... + 159428.

It is an arithmetic number, because the mean of its divisors is an integer number (121958100).

Almost surely, 2^4590858816 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 4590858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829653600).

4590858816 is an abundant number, since it is smaller than the sum of its proper divisors (9068448384).

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

4590858816 is a wasteful number, since it uses less digits than its factorization.

4590858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32113 (or 32097 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 4590858816 is about 67755.8766159807. The cubic root of 4590858816 is about 1662.0011208271.

The spelling of 4590858816 in words is "four billion, five hundred ninety million, eight hundred fifty-eight thousand, eight hundred sixteen".