14657000672 has 48 divisors (see below), whose sum is σ = 30593404800. Its totient is φ = 6892801920.

The previous prime is 14657000671. The next prime is 14657000681. The reversal of 14657000672 is 27600075641.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14657000671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2204 + ... + 171227.

It is an arithmetic number, because the mean of its divisors is an integer number (637362600).

Almost surely, 2^14657000672 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 14657000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15296702400).

14657000672 is an abundant number, since it is smaller than the sum of its proper divisors (15936404128).

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

14657000672 is a wasteful number, since it uses less digits than its factorization.

14657000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173599 (or 173591 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 14657000672 in words is "fourteen billion, six hundred fifty-seven million, six hundred seventy-two", and thus it is an aban number.