48218555446272 has 352 divisors, whose sum is σ = 146036438611200. Its totient is φ = 15710839013376.

The previous prime is 48218555446267. The next prime is 48218555446333. The reversal of 48218555446272 is 27264455581284.

48218555446272 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 8 + 5 + 554 + 4 + 6 + 2 + 72 = 666.

It is a congruent number.

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, 394116373 + ... + 394238699.

Almost surely, 2^{48218555446272} 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 48218555446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73018219305600).

48218555446272 is an abundant number, since it is smaller than the sum of its proper divisors (97817883164928).

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

48218555446272 is a wasteful number, since it uses less digits than its factorization.

48218555446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122678 (or 122654 counting only the distinct ones).

The product of its digits is 172032000, while the sum is 63.

The spelling of 48218555446272 in words is "forty-eight trillion, two hundred eighteen billion, five hundred fifty-five million, four hundred forty-six thousand, two hundred seventy-two".