47222766864 has 405 divisors, whose sum is σ = 167311185093. Its totient is φ = 12391771392.

The previous prime is 47222766823. The next prime is 47222766881. The reversal of 47222766864 is 46866722274.

The square root of 47222766864 is 217308.

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

47222766864 is a `hidden beast` number, since 472 + 22 + 76 + 6 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6985616400 + 40237150464 = 83580^2 + 200592^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (10838016) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 47222766864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237300237 + ... + 237300435.

Almost surely, 2^47222766864 is an apocalyptic number.

47222766864 is the 217308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47222766864

47222766864 is an abundant number, since it is smaller than the sum of its proper divisors (120088418229).

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

47222766864 is a wasteful number, since it uses less digits than its factorization.

47222766864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 224 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 47222766864 in words is "forty-seven billion, two hundred twenty-two million, seven hundred sixty-six thousand, eight hundred sixty-four".