48632529408000 has 832 divisors, whose sum is σ = 175337572430592. Its totient is φ = 11921679974400.

The previous prime is 48632529407971. The next prime is 48632529408041. The reversal of 48632529408000 is 80492523684.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1122794344 + ... + 1122837656.

It is an arithmetic number, because the mean of its divisors is an integer number (210742274556).

Almost surely, 2^{48632529408000} is an apocalyptic number.

48632529408000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48632529408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87668786215296).

48632529408000 is an abundant number, since it is smaller than the sum of its proper divisors (126705043022592).

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

48632529408000 is a wasteful number, since it uses less digits than its factorization.

48632529408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43415 (or 43383 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 48632529408000 in words is "forty-eight trillion, six hundred thirty-two billion, five hundred twenty-nine million, four hundred eight thousand".