14058934992 has 320 divisors, whose sum is σ = 45325670400. Its totient is φ = 4150517760.

The previous prime is 14058934979. The next prime is 14058935047. The reversal of 14058934992 is 29943985041.

14058934992 is a `hidden beast` number, since 14 + 0 + 58 + 93 + 499 + 2 = 666.

14058934992 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8422734 + ... + 8424402.

It is an arithmetic number, because the mean of its divisors is an integer number (141642720).

Almost surely, 2^14058934992 is an apocalyptic number.

14058934992 is a gapful number since it is divisible by the number (12) 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 14058934992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22662835200).

14058934992 is an abundant number, since it is smaller than the sum of its proper divisors (31266735408).

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

14058934992 is a wasteful number, since it uses less digits than its factorization.

14058934992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 14058934992 in words is "fourteen billion, fifty-eight million, nine hundred thirty-four thousand, nine hundred ninety-two".