554880532848048 has 640 divisors, whose sum is σ = 1756430438400000. Its totient is φ = 166324143605760.

The previous prime is 554880532847999. The next prime is 554880532848073. The reversal of 554880532848048 is 840848235088455.

554880532848048 is a `hidden beast` number, since 5 + 5 + 4 + 8 + 8 + 0 + 532 + 8 + 4 + 80 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277579054953 + ... + 277579056951.

It is an arithmetic number, because the mean of its divisors is an integer number (2744422560000).

Almost surely, 2^{554880532848048} 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 554880532848048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878215219200000).

554880532848048 is an abundant number, since it is smaller than the sum of its proper divisors (1201549905551952).

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

554880532848048 is a wasteful number, since it uses less digits than its factorization.

554880532848048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1572864000, while the sum is 72.

The spelling of 554880532848048 in words is "five hundred fifty-four trillion, eight hundred eighty billion, five hundred thirty-two million, eight hundred forty-eight thousand, forty-eight".