58014144 has 210 divisors, whose sum is σ = 187354464. Its totient is φ = 17729280.

The previous prime is 58014137. The next prime is 58014179. The reversal of 58014144 is 44141085.

It is a happy number.

58014144 is a `hidden beast` number, since 580 + 1 + 41 + 44 = 666.

58014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 29 ways as a sum of consecutive naturals, for example, 1871409 + ... + 1871439.

Almost surely, 2^58014144 is an apocalyptic number.

58014144 is a gapful number since it is divisible by the number (54) 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 58014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93677232).

58014144 is an abundant number, since it is smaller than the sum of its proper divisors (129340320).

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

58014144 is a wasteful number, since it uses less digits than its factorization.

58014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58014144 is about 7616.7016483515. The cubic root of 58014144 is about 387.1191268383.

The spelling of 58014144 in words is "fifty-eight million, fourteen thousand, one hundred forty-four".