4716051185664 has 840 divisors, whose sum is σ = 17408630012480. Its totient is φ = 1243507064832.

The previous prime is 4716051185647. The next prime is 4716051185707. The reversal of 4716051185664 is 4665811506174.

4716051185664 is a `hidden beast` number, since 4 + 7 + 1 + 60 + 5 + 1 + 18 + 566 + 4 = 666.

It is a super-2 number, since 2×4716051185664² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4716051185664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1086896007 + ... + 1086900345.

Almost surely, 2^{4716051185664} 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 4716051185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704315006240).

4716051185664 is an abundant number, since it is smaller than the sum of its proper divisors (12692578826816).

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

4716051185664 is an frugal number, since it uses more digits than its factorization.

4716051185664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4716051185664 in words is "four trillion, seven hundred sixteen billion, fifty-one million, one hundred eighty-five thousand, six hundred sixty-four".