4617616490496 has 171 divisors, whose sum is σ = 13349297552331. Its totient is φ = 1538105278464.

The previous prime is 4617616490477. The next prime is 4617616490537. The reversal of 4617616490496 is 6940946167164.

The square root of 4617616490496 is 2148864.

It is a perfect power (a square), and thus also a powerful number.

4617616490496 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 616 + 4 + 9 + 0 + 4 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3300654405 + ... + 3300655803.

Almost surely, 2^{4617616490496} is an apocalyptic number.

4617616490496 is the 2148864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4617616490496

4617616490496 is an abundant number, since it is smaller than the sum of its proper divisors (8731681061835).

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

4617616490496 is an frugal number, since it uses more digits than its factorization.

4617616490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 4617616490496 in words is "four trillion, six hundred seventeen billion, six hundred sixteen million, four hundred ninety thousand, four hundred ninety-six".