48161137248 has 288 divisors, whose sum is σ = 165852489600. Its totient is φ = 13554148608.

The previous prime is 48161137229. The next prime is 48161137261. The reversal of 48161137248 is 84273116184.

48161137248 is a `hidden beast` number, since 4 + 8 + 1 + 611 + 3 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2828023 + ... + 2845001.

It is an arithmetic number, because the mean of its divisors is an integer number (575876700).

Almost surely, 2^48161137248 is an apocalyptic number.

48161137248 is a gapful number since it is divisible by the number (48) 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 48161137248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82926244800).

48161137248 is an abundant number, since it is smaller than the sum of its proper divisors (117691352352).

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

48161137248 is a wasteful number, since it uses less digits than its factorization.

48161137248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17079 (or 17058 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 48161137248 in words is "forty-eight billion, one hundred sixty-one million, one hundred thirty-seven thousand, two hundred forty-eight".