48141968056 has 256 divisors, whose sum is σ = 118389600000. Its totient is φ = 18214189056.

The previous prime is 48141968047. The next prime is 48141968087. The reversal of 48141968056 is 65086914184.

48141968056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 48141967994 and 48141968012.

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, 178966290 + ... + 178966558.

It is an arithmetic number, because the mean of its divisors is an integer number (462459375).

Almost surely, 2^48141968056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48141968056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194800000).

48141968056 is an abundant number, since it is smaller than the sum of its proper divisors (70247631944).

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

48141968056 is a wasteful number, since it uses less digits than its factorization.

48141968056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 48141968056 in words is "forty-eight billion, one hundred forty-one million, nine hundred sixty-eight thousand, fifty-six".