4654659701664 has 288 divisors, whose sum is σ = 16107525907200. Its totient is φ = 1272080291328.

The previous prime is 4654659701663. The next prime is 4654659701717. The reversal of 4654659701664 is 4661079564564.

4654659701664 is a `hidden beast` number, since 4 + 6 + 5 + 465 + 9 + 7 + 0 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4654659701663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1247694 + ... + 3296370.

It is an arithmetic number, because the mean of its divisors is an integer number (55928909400).

Almost surely, 2^{4654659701664} 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 4654659701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053762953600).

4654659701664 is an abundant number, since it is smaller than the sum of its proper divisors (11452866205536).

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

4654659701664 is a wasteful number, since it uses less digits than its factorization.

4654659701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048737 (or 2048712 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 4654659701664 in words is "four trillion, six hundred fifty-four billion, six hundred fifty-nine million, seven hundred one thousand, six hundred sixty-four".