14870479680 has 336 divisors, whose sum is σ = 59201425920. Its totient is φ = 3355582464.

The previous prime is 14870479661. The next prime is 14870479769. The reversal of 14870479680 is 8697407841.

It is a happy number.

14870479680 is a `hidden beast` number, since 1 + 48 + 70 + 479 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×14870479680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1587972 + ... + 1597308.

It is an arithmetic number, because the mean of its divisors is an integer number (176194720).

Almost surely, 2^14870479680 is an apocalyptic number.

14870479680 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 14870479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29600712960).

14870479680 is an abundant number, since it is smaller than the sum of its proper divisors (44330946240).

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

14870479680 is a wasteful number, since it uses less digits than its factorization.

14870479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9446 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 14870479680 in words is "fourteen billion, eight hundred seventy million, four hundred seventy-nine thousand, six hundred eighty".