2448001132632 has 256 divisors, whose sum is σ = 7765349990400. Its totient is φ = 707776272000.

The previous prime is 2448001132627. The next prime is 2448001132651. The reversal of 2448001132632 is 2362311008442.

2448001132632 is a `hidden beast` number, since 2 + 4 + 4 + 8 + 0 + 0 + 1 + 13 + 2 + 632 = 666.

2448001132632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4995523 + ... + 5463629.

It is an arithmetic number, because the mean of its divisors is an integer number (30333398400).

Almost surely, 2^{2448001132632} is an apocalyptic number.

2448001132632 is a gapful number since it is divisible by the number (22) 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 2448001132632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882674995200).

2448001132632 is an abundant number, since it is smaller than the sum of its proper divisors (5317348857768).

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

2448001132632 is a wasteful number, since it uses less digits than its factorization.

2448001132632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468235 (or 468225 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2448001132632 in words is "two trillion, four hundred forty-eight billion, one million, one hundred thirty-two thousand, six hundred thirty-two".