4556496946554 has 192 divisors, whose sum is σ = 12197502720000. Its totient is φ = 1200425443200.

The previous prime is 4556496946549. The next prime is 4556496946609.

4556496946554 is a `hidden beast` number, since 4 + 5 + 5 + 6 + 4 + 9 + 69 + 4 + 6 + 554 = 666.

4556496946554 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 14106147 + ... + 14425545.

It is an arithmetic number, because the mean of its divisors is an integer number (63528660000).

Almost surely, 2^{4556496946554} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4556496946554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098751360000).

4556496946554 is an abundant number, since it is smaller than the sum of its proper divisors (7641005773446).

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

4556496946554 is a wasteful number, since it uses less digits than its factorization.

4556496946554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319593 (or 319590 counting only the distinct ones).

The product of its digits is 2799360000, while the sum is 72.

The spelling of 4556496946554 in words is "four trillion, five hundred fifty-six billion, four hundred ninety-six million, nine hundred forty-six thousand, five hundred fifty-four".