53968865344 has 63 divisors (see below), whose sum is σ = 108890318541. Its totient is φ = 26539322880.

The previous prime is 53968865341. The next prime is 53968865393. The reversal of 53968865344 is 44356886935.

The square root of 53968865344 is 232312.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 49323079744 + 4645785600 = 222088^2 + 68160^2 .

It is a Duffinian number.

Its product of digits (74649600) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (53968865341) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 131953012 + ... + 131953420.

Almost surely, 2^53968865344 is an apocalyptic number.

53968865344 is the 232312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53968865344

53968865344 is an abundant number, since it is smaller than the sum of its proper divisors (54921453197).

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

53968865344 is an frugal number, since it uses more digits than its factorization.

53968865344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 482 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 61.

The spelling of 53968865344 in words is "fifty-three billion, nine hundred sixty-eight million, eight hundred sixty-five thousand, three hundred forty-four".