14160199680 has 640 divisors, whose sum is σ = 55952210160. Its totient is φ = 3397386240.

The previous prime is 14160199591. The next prime is 14160199699. The reversal of 14160199680 is 8699106141.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14160199680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145981392 + ... + 145981488.

Almost surely, 2^14160199680 is an apocalyptic number.

14160199680 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 14160199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27976105080).

14160199680 is an abundant number, since it is smaller than the sum of its proper divisors (41792010480).

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

14160199680 is an frugal number, since it uses more digits than its factorization.

14160199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 14160199680 in words is "fourteen billion, one hundred sixty million, one hundred ninety-nine thousand, six hundred eighty".