48432191227000 has 256 divisors, whose sum is σ = 130398159790080. Its totient is φ = 16493160384000.

The previous prime is 48432191226899. The next prime is 48432191227001. The reversal of 48432191227000 is 72219123484.

48432191227000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48432191227001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042717777 + ... + 1042764223.

It is an arithmetic number, because the mean of its divisors is an integer number (509367811680).

Almost surely, 2^{48432191227000} is an apocalyptic number.

48432191227000 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 48432191227000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65199079895040).

48432191227000 is an abundant number, since it is smaller than the sum of its proper divisors (81965968563080).

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

48432191227000 is a wasteful number, since it uses less digits than its factorization.

48432191227000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47479 (or 47465 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 48432191227000 in words is "forty-eight trillion, four hundred thirty-two billion, one hundred ninety-one million, two hundred twenty-seven thousand".