4649904657216 has 2688 divisors, whose sum is σ = 19011912192000. Its totient is φ = 1092583489536.

The previous prime is 4649904657173. The next prime is 4649904657227. The reversal of 4649904657216 is 6127564099464.

It is a happy number.

4649904657216 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 9 + 0 + 46 + 572 + 16 = 666.

It is a super-2 number, since 2×4649904657216² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52246119700 + ... + 52246119788.

It is an arithmetic number, because the mean of its divisors is an integer number (7072884000).

Almost surely, 2^{4649904657216} 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 4649904657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9505956096000).

4649904657216 is an abundant number, since it is smaller than the sum of its proper divisors (14362007534784).

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

4649904657216 is a wasteful number, since it uses less digits than its factorization.

4649904657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 4649904657216 in words is "four trillion, six hundred forty-nine billion, nine hundred four million, six hundred fifty-seven thousand, two hundred sixteen".