53934610464 has 648 divisors, whose sum is σ = 190802197404. Its totient is φ = 14399078400.

The previous prime is 53934610463. The next prime is 53934610469. The reversal of 53934610464 is 46401643935.

53934610464 is a `hidden beast` number, since 53 + 93 + 46 + 10 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48991395600 + 4943214864 = 221340^2 + 70308^2 .

It is not an unprimeable number, because it can be changed into a prime (53934610463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 556026864 + ... + 556026960.

Almost surely, 2^53934610464 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 53934610464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95401098702).

53934610464 is an abundant number, since it is smaller than the sum of its proper divisors (136867586940).

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

53934610464 is a wasteful number, since it uses less digits than its factorization.

53934610464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 53934610464 in words is "fifty-three billion, nine hundred thirty-four million, six hundred ten thousand, four hundred sixty-four".