14146159680 has 896 divisors, whose sum is σ = 57541363200. Its totient is φ = 3248750592.

The previous prime is 14146159679. The next prime is 14146159691. The reversal of 14146159680 is 8695164141.

14146159680 is a `hidden beast` number, since 1 + 414 + 6 + 159 + 6 + 80 = 666.

It is a super-2 number, since 2×14146159680² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103256572 + ... + 103256708.

Almost surely, 2^14146159680 is an apocalyptic number.

14146159680 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 14146159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28770681600).

14146159680 is an abundant number, since it is smaller than the sum of its proper divisors (43395203520).

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

14146159680 is a wasteful number, since it uses less digits than its factorization.

14146159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14146159680 in words is "fourteen billion, one hundred forty-six million, one hundred fifty-nine thousand, six hundred eighty".