4954564033224 has 128 divisors (see below), whose sum is σ = 13376331360000. Its totient is φ = 1520244670464.

The previous prime is 4954564033157. The next prime is 4954564033247. The reversal of 4954564033224 is 4223304654594.

It is a Cunningham number, because it is equal to 2225885²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173604684 + ... + 173633220.

It is an arithmetic number, because the mean of its divisors is an integer number (104502588750).

Almost surely, 2^{4954564033224} 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 4954564033224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688165680000).

4954564033224 is an abundant number, since it is smaller than the sum of its proper divisors (8421767326776).

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

4954564033224 is a wasteful number, since it uses less digits than its factorization.

4954564033224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30087 (or 30083 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 51.

The spelling of 4954564033224 in words is "four trillion, nine hundred fifty-four billion, five hundred sixty-four million, thirty-three thousand, two hundred twenty-four".