48233190882432 has 128 divisors (see below), whose sum is σ = 135760951195200. Its totient is φ = 15120257679360.

The previous prime is 48233190882403. The next prime is 48233190882463. The reversal of 48233190882432 is 23428809133284.

48233190882432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×48233190882432² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5566044 + ... + 11289252.

Almost surely, 2^{48233190882432} 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 48233190882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67880475597600).

48233190882432 is an abundant number, since it is smaller than the sum of its proper divisors (87527760312768).

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

48233190882432 is a wasteful number, since it uses less digits than its factorization.

48233190882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724534 (or 5724522 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 48233190882432 in words is "forty-eight trillion, two hundred thirty-three billion, one hundred ninety million, eight hundred eighty-two thousand, four hundred thirty-two".