14457634016 has 48 divisors (see below), whose sum is σ = 33651404640. Its totient is φ = 5982466560.

The previous prime is 14457634001. The next prime is 14457634019. The reversal of 14457634016 is 61043675441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457634019) 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, 1106315 + ... + 1119306.

It is an arithmetic number, because the mean of its divisors is an integer number (701070930).

Almost surely, 2^14457634016 is an apocalyptic number.

14457634016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14457634016 is an abundant number, since it is smaller than the sum of its proper divisors (19193770624).

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

14457634016 is a wasteful number, since it uses less digits than its factorization.

14457634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225667 (or 2225659 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 14457634016 in words is "fourteen billion, four hundred fifty-seven million, six hundred thirty-four thousand, sixteen".