14679429120 has 260 divisors, whose sum is σ = 52627994100. Its totient is φ = 3914072064.

The previous prime is 14679429109. The next prime is 14679429143. The reversal of 14679429120 is 2192497641.

14679429120 is a `hidden beast` number, since 146 + 79 + 429 + 12 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1672482816 + 13006946304 = 40896^2 + 114048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1654456 + ... + 1663304.

Almost surely, 2^14679429120 is an apocalyptic number.

14679429120 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 14679429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26313997050).

14679429120 is an abundant number, since it is smaller than the sum of its proper divisors (37948564980).

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

14679429120 is an frugal number, since it uses more digits than its factorization.

14679429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8859 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 14679429120 in words is "fourteen billion, six hundred seventy-nine million, four hundred twenty-nine thousand, one hundred twenty".