14164867975680 has 640 divisors, whose sum is σ = 51062334301440. Its totient is φ = 3767929602048.

The previous prime is 14164867975549. The next prime is 14164867975789. The reversal of 14164867975680 is 8657976846141.

14164867975680 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 486 + 7 + 97 + 56 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 14164867975599 and 14164867975608.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2424242839 + ... + 2424248681.

It is an arithmetic number, because the mean of its divisors is an integer number (79784897346).

Almost surely, 2^{14164867975680} is an apocalyptic number.

14164867975680 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 14164867975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25531167150720).

14164867975680 is an abundant number, since it is smaller than the sum of its proper divisors (36897466325760).

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

14164867975680 is an frugal number, since it uses more digits than its factorization.

14164867975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 14164867975680 in words is "fourteen trillion, one hundred sixty-four billion, eight hundred sixty-seven million, nine hundred seventy-five thousand, six hundred eighty".