14170985664 has 336 divisors, whose sum is σ = 44525757024. Its totient is φ = 3959521280.

The previous prime is 14170985599. The next prime is 14170985671. The reversal of 14170985664 is 46658907141.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 20931694 + ... + 20932370.

It is an arithmetic number, because the mean of its divisors is an integer number (132517134).

Almost surely, 2^14170985664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14170985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22262878512).

14170985664 is an abundant number, since it is smaller than the sum of its proper divisors (30354771360).

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

14170985664 is a wasteful number, since it uses less digits than its factorization.

14170985664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 14170985664 in words is "fourteen billion, one hundred seventy million, nine hundred eighty-five thousand, six hundred sixty-four".