14971729920 has 192 divisors, whose sum is σ = 54741173760. Its totient is φ = 3422060544.

The previous prime is 14971729891. The next prime is 14971729957. The reversal of 14971729920 is 2992717941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180229 + ... + 249851.

It is an arithmetic number, because the mean of its divisors is an integer number (285110280).

Almost surely, 2^14971729920 is an apocalyptic number.

14971729920 is a gapful number since it is divisible by the number (10) 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 14971729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370586880).

14971729920 is an abundant number, since it is smaller than the sum of its proper divisors (39769443840).

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

14971729920 is an equidigital number, since it uses as much as digits as its factorization.

14971729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69660 (or 69640 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 14971729920 in words is "fourteen billion, nine hundred seventy-one million, seven hundred twenty-nine thousand, nine hundred twenty".