14664642042960 has 1440 divisors, whose sum is σ = 63872748132480. Its totient is φ = 3082080927744.

The previous prime is 14664642042949. The next prime is 14664642042971. The reversal of 14664642042960 is 6924024646641.

14664642042960 is a `hidden beast` number, since 1 + 4 + 66 + 464 + 20 + 42 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (14664642042949) and next prime (14664642042971).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14664642042897 and 14664642042906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5062008232 + ... + 5062011128.

It is an arithmetic number, because the mean of its divisors is an integer number (44356075092).

Almost surely, 2^{14664642042960} is an apocalyptic number.

14664642042960 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 14664642042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31936374066240).

14664642042960 is an abundant number, since it is smaller than the sum of its proper divisors (49208106089520).

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

14664642042960 is a wasteful number, since it uses less digits than its factorization.

14664642042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 14664642042960 in words is "fourteen trillion, six hundred sixty-four billion, six hundred forty-two million, forty-two thousand, nine hundred sixty".