5414605056 has 405 divisors, whose sum is σ = 19042154901. Its totient is φ = 1525837824.

The previous prime is 5414604991. The next prime is 5414605057. The reversal of 5414605056 is 6505064145.

The square root of 5414605056 is 73584.

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

5414605056 is a `hidden beast` number, since 5 + 4 + 146 + 0 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3073593600 + 2341011456 = 55440^2 + 48384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5414605056.

It is not an unprimeable number, because it can be changed into a prime (5414605057) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 74172636 + ... + 74172708.

Almost surely, 2^5414605056 is an apocalyptic number.

5414605056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5414605056 is the 73584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414605056

5414605056 is an abundant number, since it is smaller than the sum of its proper divisors (13627549845).

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

5414605056 is an frugal number, since it uses more digits than its factorization.

5414605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 5414605056 is about 1755.9909021725.

Multiplying 5414605056 by its sum of digits (36), we get a square (194925782016 = 441504²).

5414605056 divided by its sum of digits (36) gives a square (150405696 = 12264²).

The spelling of 5414605056 in words is "five billion, four hundred fourteen million, six hundred five thousand, fifty-six".