52148634507216 has 480 divisors, whose sum is σ = 165931888012800. Its totient is φ = 15156317306880.

The previous prime is 52148634507187. The next prime is 52148634507217. The reversal of 52148634507216 is 61270543684125.

52148634507216 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 86 + 34 + 507 + 21 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52148634507217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24131713176 + ... + 24131715336.

It is an arithmetic number, because the mean of its divisors is an integer number (345691433360).

Almost surely, 2^{52148634507216} 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 52148634507216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82965944006400).

52148634507216 is an abundant number, since it is smaller than the sum of its proper divisors (113783253505584).

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

52148634507216 is a wasteful number, since it uses less digits than its factorization.

52148634507216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 52148634507216 in words is "fifty-two trillion, one hundred forty-eight billion, six hundred thirty-four million, five hundred seven thousand, two hundred sixteen".