48452245632 has 640 divisors, whose sum is σ = 176267456640. Its totient is φ = 12896796672.

The previous prime is 48452245627. The next prime is 48452245651. The reversal of 48452245632 is 23654225484.

It is a happy number.

48452245632 is a `hidden beast` number, since 4 + 8 + 4 + 5 + 2 + 2 + 4 + 5 + 632 = 666.

Its product of digits (1843200) is a multiple of the sum of its prime factors (450).

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 79 ways as a sum of consecutive naturals, for example, 213445903 + ... + 213446129.

It is an arithmetic number, because the mean of its divisors is an integer number (275417901).

Almost surely, 2^48452245632 is an apocalyptic number.

48452245632 is a gapful number since it is divisible by the number (42) 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 48452245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88133728320).

48452245632 is an abundant number, since it is smaller than the sum of its proper divisors (127815211008).

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

48452245632 is a wasteful number, since it uses less digits than its factorization.

48452245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 48452245632 in words is "forty-eight billion, four hundred fifty-two million, two hundred forty-five thousand, six hundred thirty-two".