14729420160 has 2048 divisors, whose sum is σ = 74027520000. Its totient is φ = 2675441664.

The previous prime is 14729420149. The next prime is 14729420201. The reversal of 14729420160 is 6102492741.

It is a happy number.

14729420160 is a `hidden beast` number, since 1 + 4 + 72 + 9 + 420 + 160 = 666.

14729420160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 507911026 + ... + 507911054.

It is an arithmetic number, because the mean of its divisors is an integer number (36146250).

Almost surely, 2^14729420160 is an apocalyptic number.

14729420160 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 14729420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760000).

14729420160 is an abundant number, since it is smaller than the sum of its proper divisors (59298099840).

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

14729420160 is a wasteful number, since it uses less digits than its factorization.

14729420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14729420160 in words is "fourteen billion, seven hundred twenty-nine million, four hundred twenty thousand, one hundred sixty".