48153388288000 has 768 divisors, whose sum is σ = 126298608246720. Its totient is φ = 18310496256000.

The previous prime is 48153388287943. The next prime is 48153388288003. The reversal of 48153388288000 is 88288335184.

It can be written as a sum of positive squares in 32 ways, for example, as 23181220537344 + 24972167750656 = 4814688^2 + 4997216^2 .

It is a super-2 number, since 2×48153388288000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48153388288003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60418303602 + ... + 60418304398.

Almost surely, 2^{48153388288000} is an apocalyptic number.

48153388288000 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 48153388288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63149304123360).

48153388288000 is an abundant number, since it is smaller than the sum of its proper divisors (78145219958720).

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

48153388288000 is an equidigital number, since it uses as much as digits as its factorization.

48153388288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 58.

The spelling of 48153388288000 in words is "forty-eight trillion, one hundred fifty-three billion, three hundred eighty-eight million, two hundred eighty-eight thousand".