14542358016 has 160 divisors (see below), whose sum is σ = 41170757760. Its totient is φ = 4548427776.

The previous prime is 14542357993. The next prime is 14542358021. The reversal of 14542358016 is 61085324541.

It is a super-2 number, since 2×14542358016² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3120360 + ... + 3125016.

It is an arithmetic number, because the mean of its divisors is an integer number (257317236).

Almost surely, 2^14542358016 is an apocalyptic number.

14542358016 is a gapful number since it is divisible by the number (16) 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 14542358016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585378880).

14542358016 is an abundant number, since it is smaller than the sum of its proper divisors (26628399744).

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

14542358016 is a wasteful number, since it uses less digits than its factorization.

14542358016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 14542358016 in words is "fourteen billion, five hundred forty-two million, three hundred fifty-eight thousand, sixteen".