4561111296 has 405 divisors, whose sum is σ = 16060540419. Its totient is φ = 1283724288.

The previous prime is 4561111277. The next prime is 4561111307. The reversal of 4561111296 is 6921111654.

The square root of 4561111296 is 67536.

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

4561111296 is a `hidden beast` number, since 4 + 5 + 611 + 11 + 29 + 6 = 666.

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 4561111296.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 68076255 + ... + 68076321.

Almost surely, 2^4561111296 is an apocalyptic number.

4561111296 is the 67536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561111296

4561111296 is an abundant number, since it is smaller than the sum of its proper divisors (11499429123).

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

4561111296 is an frugal number, since it uses more digits than its factorization.

4561111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 79 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The cubic root of 4561111296 is about 1658.4035670453.

Multiplying 4561111296 by its sum of digits (36), we get a square (164200006656 = 405216²).

4561111296 divided by its sum of digits (36) gives a square (126697536 = 11256²).

The spelling of 4561111296 in words is "four billion, five hundred sixty-one million, one hundred eleven thousand, two hundred ninety-six".