5461801216 has 81 divisors (see below), whose sum is σ = 11341411473. Its totient is φ = 2625070080.

The previous prime is 5461801211. The next prime is 5461801253. The reversal of 5461801216 is 6121081645.

The square root of 5461801216 is 73904.

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., 639887616 + 4821913600 = 25296^2 + 69440^2 .

It is not an unprimeable number, because it can be changed into a prime (5461801211) 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, 36656310 + ... + 36656458.

Almost surely, 2^5461801216 is an apocalyptic number.

5461801216 is the 73904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5461801216

5461801216 is an abundant number, since it is smaller than the sum of its proper divisors (5879610257).

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

5461801216 is an frugal number, since it uses more digits than its factorization.

5461801216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The cubic root of 5461801216 is about 1761.0781548275.

The spelling of 5461801216 in words is "five billion, four hundred sixty-one million, eight hundred one thousand, two hundred sixteen".