5456185956 has 81 divisors (see below), whose sum is σ = 14950347321. Its totient is φ = 1677053664.

The previous prime is 5456185949. The next prime is 5456185957. The reversal of 5456185956 is 6595816545.

The square root of 5456185956 is 73866.

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

5456185956 is a `hidden beast` number, since 5 + 45 + 6 + 1 + 8 + 595 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 807128100 + 4649057856 = 28410^2 + 68184^2 .

It is not an unprimeable number, because it can be changed into a prime (5456185957) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5761075 + ... + 5762021.

Almost surely, 2^5456185956 is an apocalyptic number.

5456185956 is the 73866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456185956

5456185956 is an abundant number, since it is smaller than the sum of its proper divisors (9494161365).

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

5456185956 is a wasteful number, since it uses less digits than its factorization.

5456185956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 965 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 54.

The cubic root of 5456185956 is about 1760.4744283164.

The spelling of 5456185956 in words is "five billion, four hundred fifty-six million, one hundred eighty-five thousand, nine hundred fifty-six".