53248426618464 has 1728 divisors, whose sum is σ = 206723957207040. Its totient is φ = 13095764398080.

The previous prime is 53248426618463. The next prime is 53248426618507. The reversal of 53248426618464 is 46481662484235.

53248426618464 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 8 + 4 + 2 + 6 + 618 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53248426618463) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24847608177 + ... + 24847610319.

It is an arithmetic number, because the mean of its divisors is an integer number (119631919680).

Almost surely, 2^{53248426618464} is an apocalyptic number.

53248426618464 is a gapful number since it is divisible by the number (54) 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 53248426618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103361978603520).

53248426618464 is an abundant number, since it is smaller than the sum of its proper divisors (153475530588576).

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

53248426618464 is a wasteful number, since it uses less digits than its factorization.

53248426618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2248 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 63.

The spelling of 53248426618464 in words is "fifty-three trillion, two hundred forty-eight billion, four hundred twenty-six million, six hundred eighteen thousand, four hundred sixty-four".