48774271104 has 288 divisors, whose sum is σ = 156228590700. Its totient is φ = 14519070720.

The previous prime is 48774271097. The next prime is 48774271111. The reversal of 48774271104 is 40117247784.

48774271104 is a `hidden beast` number, since 48 + 77 + 427 + 110 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48774271097) and next prime (48774271111).

It can be written as a sum of positive squares in 2 ways, for example, as 48171470400 + 602800704 = 219480^2 + 24552^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 48774271104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14390242 + ... + 14393630.

Almost surely, 2^48774271104 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 48774271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78114295350).

48774271104 is an abundant number, since it is smaller than the sum of its proper divisors (107454319596).

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

48774271104 is a wasteful number, since it uses less digits than its factorization.

48774271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 48774271104 in words is "forty-eight billion, seven hundred seventy-four million, two hundred seventy-one thousand, one hundred four".