53846738401 has 3 divisors (see below), whose sum is σ = 53846970451. Its totient is φ = 53846506352.

The previous prime is 53846738389. The next prime is 53846738411. The reversal of 53846738401 is 10483764835.

The square root of 53846738401 is 232049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10483764835 = 5 ⋅2096752967.

It can be written as a sum of positive squares in only one way, i.e., 36538704801 + 17308033600 = 191151^2 + 131560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-53846738401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53846738411) 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 2 ways as a sum of consecutive naturals, for example, 116025 + ... + 348073.

Almost surely, 2^53846738401 is an apocalyptic number.

53846738401 is the 232049-th square number.

53846738401 is the 116025-th centered octagonal number.

It is an amenable number.

53846738401 is a deficient number, since it is larger than the sum of its proper divisors (232050).

53846738401 is an frugal number, since it uses more digits than its factorization.

53846738401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464098 (or 232049 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 53846738401 by its sum of digits (49), we get a square (2638490181649 = 1624343²).

The spelling of 53846738401 in words is "fifty-three billion, eight hundred forty-six million, seven hundred thirty-eight thousand, four hundred one".