58018144 has 48 divisors (see below), whose sum is σ = 126227808. Its totient is φ = 26109952.

The previous prime is 58018141. The next prime is 58018159. The reversal of 58018144 is 44181085.

It is a super-2 number, since 2×58018144² = 6732210066409472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58018141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10194 + ... + 14830.

It is an arithmetic number, because the mean of its divisors is an integer number (2629746).

Almost surely, 2^58018144 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 58018144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63113904).

58018144 is an abundant number, since it is smaller than the sum of its proper divisors (68209664).

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

58018144 is a wasteful number, since it uses less digits than its factorization.

58018144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 58018144 is about 7616.9642246764. The cubic root of 58018144 is about 387.1280237544.

The spelling of 58018144 in words is "fifty-eight million, eighteen thousand, one hundred forty-four".