48376775055168 has 504 divisors, whose sum is σ = 170078469567552. Its totient is φ = 12874738434048.

The previous prime is 48376775055163. The next prime is 48376775055197. The reversal of 48376775055168 is 86155057767384.

48376775055168 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 6 + 7 + 7 + 5 + 0 + 551 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 48376775055096 and 48376775055105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48376775055163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112815055 + ... + 113243057.

It is an arithmetic number, because the mean of its divisors is an integer number (337457280888).

Almost surely, 2^{48376775055168} is an apocalyptic number.

48376775055168 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 48376775055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85039234783776).

48376775055168 is an abundant number, since it is smaller than the sum of its proper divisors (121701694512384).

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

48376775055168 is a wasteful number, since it uses less digits than its factorization.

48376775055168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428159 (or 428129 counting only the distinct ones).

The product of its (nonzero) digits is 1185408000, while the sum is 72.

The spelling of 48376775055168 in words is "forty-eight trillion, three hundred seventy-six billion, seven hundred seventy-five million, fifty-five thousand, one hundred sixty-eight".