52170214464 has 189 divisors, whose sum is σ = 155020811751. Its totient is φ = 16774283520.

The previous prime is 52170214441. The next prime is 52170214469. The reversal of 52170214464 is 46441207125.

The square root of 52170214464 is 228408.

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

52170214464 is a `hidden beast` number, since 5 + 2 + 170 + 21 + 4 + 464 = 666.

It is a super-3 number, since 3×52170214464³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52170214469) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 169935399 + ... + 169935705.

Almost surely, 2^52170214464 is an apocalyptic number.

52170214464 is the 228408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52170214464

52170214464 is an abundant number, since it is smaller than the sum of its proper divisors (102850597287).

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

52170214464 is an equidigital number, since it uses as much as digits as its factorization.

52170214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 52170214464 by its sum of digits (36), we get a square (1878127720704 = 1370448²).

52170214464 divided by its sum of digits (36) gives a square (1449172624 = 38068²).

The spelling of 52170214464 in words is "fifty-two billion, one hundred seventy million, two hundred fourteen thousand, four hundred sixty-four".