53683036416 has 135 divisors (see below), whose sum is σ = 160172649021. Its totient is φ = 17883224064.

The previous prime is 53683036409. The next prime is 53683036417. The reversal of 53683036416 is 61463038635.

The square root of 53683036416 is 231696.

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

53683036416 is a `hidden beast` number, since 536 + 83 + 0 + 36 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52488642816 + 1194393600 = 229104^2 + 34560^2 .

It is not an unprimeable number, because it can be changed into a prime (53683036417) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33363420 + ... + 33365028.

Almost surely, 2^53683036416 is an apocalyptic number.

53683036416 is the 231696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53683036416

53683036416 is an abundant number, since it is smaller than the sum of its proper divisors (106489612605).

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

53683036416 is an frugal number, since it uses more digits than its factorization.

53683036416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 1614 counting only the distinct ones).

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

The spelling of 53683036416 in words is "fifty-three billion, six hundred eighty-three million, thirty-six thousand, four hundred sixteen".