53965148416 has 27 divisors (see below), whose sum is σ = 107726915191. Its totient is φ = 26980715776.

The previous prime is 53965148389. The next prime is 53965148431. The reversal of 53965148416 is 61484156935.

It is a happy number.

The square root of 53965148416 is 232304.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3709605 + ... + 3724123.

Almost surely, 2^53965148416 is an apocalyptic number.

53965148416 is the 232304-th square number.

It is an amenable number.

53965148416 is a deficient number, since it is larger than the sum of its proper divisors (53761766775).

53965148416 is an frugal number, since it uses more digits than its factorization.

53965148416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29054 (or 14521 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 53965148416 in words is "fifty-three billion, nine hundred sixty-five million, one hundred forty-eight thousand, four hundred sixteen".