14614064640 has 960 divisors, whose sum is σ = 62098882560. Its totient is φ = 3105423360.

The previous prime is 14614064639. The next prime is 14614064683. The reversal of 14614064640 is 4646041641.

14614064640 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 4 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14614064595 and 14614064604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184988121 + ... + 184988199.

It is an arithmetic number, because the mean of its divisors is an integer number (64686336).

Almost surely, 2^14614064640 is an apocalyptic number.

14614064640 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 14614064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31049441280).

14614064640 is an abundant number, since it is smaller than the sum of its proper divisors (47484817920).

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

14614064640 is a wasteful number, since it uses less digits than its factorization.

14614064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 14614064640 in words is "fourteen billion, six hundred fourteen million, sixty-four thousand, six hundred forty".