47820212326656 has 729 divisors, whose sum is σ = 176388596645079. Its totient is φ = 12414195763200.

The previous prime is 47820212326651. The next prime is 47820212326661. The reversal of 47820212326656 is 65662321202874.

The square root of 47820212326656 is 6915216.

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

47820212326656 is a `hidden beast` number, since 4 + 7 + 8 + 202 + 123 + 266 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (47820212326651) and next prime (47820212326661).

It is not an unprimeable number, because it can be changed into a prime (47820212326651) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 25558637401 + ... + 25558639271.

Almost surely, 2^{47820212326656} is an apocalyptic number.

47820212326656 is the 6915216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47820212326656

47820212326656 is an abundant number, since it is smaller than the sum of its proper divisors (128568384318423).

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

47820212326656 is an equidigital number, since it uses as much as digits as its factorization.

47820212326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 47820212326656 in words is "forty-seven trillion, eight hundred twenty billion, two hundred twelve million, three hundred twenty-six thousand, six hundred fifty-six".