48327645330432 has 1320 divisors, whose sum is σ = 167228707626288. Its totient is φ = 13771835965440.

The previous prime is 48327645330337. The next prime is 48327645330467. The reversal of 48327645330432 is 23403354672384.

48327645330432 is a `hidden beast` number, since 4 + 8 + 3 + 2 + 7 + 64 + 533 + 0 + 43 + 2 = 666.

It is a super-2 number, since 2×48327645330432² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 119 ways as a sum of consecutive naturals, for example, 92404675323 + ... + 92404675845.

Almost surely, 2^{48327645330432} 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 48327645330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83614353813144).

48327645330432 is an abundant number, since it is smaller than the sum of its proper divisors (118901062295856).

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

48327645330432 is a wasteful number, since it uses less digits than its factorization.

48327645330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 54.

The spelling of 48327645330432 in words is "forty-eight trillion, three hundred twenty-seven billion, six hundred forty-five million, three hundred thirty thousand, four hundred thirty-two".