14706552672 has 576 divisors, whose sum is σ = 53778816000. Its totient is φ = 3886009344.

The previous prime is 14706552671. The next prime is 14706552683. The reversal of 14706552672 is 27625560741.

14706552672 is a `hidden beast` number, since 1 + 470 + 65 + 52 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14706552671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37805854 + ... + 37806242.

It is an arithmetic number, because the mean of its divisors is an integer number (93366000).

Almost surely, 2^14706552672 is an apocalyptic number.

14706552672 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 14706552672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26889408000).

14706552672 is an abundant number, since it is smaller than the sum of its proper divisors (39072263328).

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

14706552672 is a wasteful number, since it uses less digits than its factorization.

14706552672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 14706552672 in words is "fourteen billion, seven hundred six million, five hundred fifty-two thousand, six hundred seventy-two".