48725671466304 has 504 divisors, whose sum is σ = 168908197392480. Its totient is φ = 13886467144704.

The previous prime is 48725671466291. The next prime is 48725671466321. The reversal of 48725671466304 is 40366417652784.

48725671466304 is a `hidden beast` number, since 4 + 8 + 7 + 2 + 567 + 1 + 4 + 6 + 63 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 302452527 + ... + 302613585.

Almost surely, 2^{48725671466304} 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 48725671466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84454098696240).

48725671466304 is an abundant number, since it is smaller than the sum of its proper divisors (120182525926176).

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

48725671466304 is a wasteful number, since it uses less digits than its factorization.

48725671466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161497 (or 161468 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 48725671466304 in words is "forty-eight trillion, seven hundred twenty-five billion, six hundred seventy-one million, four hundred sixty-six thousand, three hundred four".