48542146560 has 336 divisors, whose sum is σ = 174537142416. Its totient is φ = 12941918208.

The previous prime is 48542146517. The next prime is 48542146577. The reversal of 48542146560 is 6564124584.

It is a happy number.

48542146560 is a `hidden beast` number, since 4 + 8 + 5 + 42 + 1 + 46 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9950842 + ... + 9955718.

It is an arithmetic number, because the mean of its divisors is an integer number (519455781).

Almost surely, 2^48542146560 is an apocalyptic number.

48542146560 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 48542146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87268571208).

48542146560 is an abundant number, since it is smaller than the sum of its proper divisors (125994995856).

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

48542146560 is an frugal number, since it uses more digits than its factorization.

48542146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 48542146560 in words is "forty-eight billion, five hundred forty-two million, one hundred forty-six thousand, five hundred sixty".