48175461216 has 144 divisors (see below), whose sum is σ = 141703406208. Its totient is φ = 15509145600.

The previous prime is 48175461193. The next prime is 48175461221. The reversal of 48175461216 is 61216457184.

48175461216 is a `hidden beast` number, since 4 + 8 + 17 + 5 + 4 + 612 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4646310 + ... + 4656666.

It is an arithmetic number, because the mean of its divisors is an integer number (984051432).

Almost surely, 2^48175461216 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 48175461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70851703104).

48175461216 is an abundant number, since it is smaller than the sum of its proper divisors (93527944992).

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

48175461216 is a wasteful number, since it uses less digits than its factorization.

48175461216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10925 (or 10914 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 48175461216 in words is "forty-eight billion, one hundred seventy-five million, four hundred sixty-one thousand, two hundred sixteen".