212159729664 has 117 divisors (see below), whose sum is σ = 613086627283. Its totient is φ = 70690430976.

The previous prime is 212159729629. The next prime is 212159729689. The reversal of 212159729664 is 466927951212.

It is a happy number.

The square root of 212159729664 is 460608.

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

212159729664 is a `hidden beast` number, since 2 + 1 + 21 + 597 + 29 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×212159729664² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212159729664.

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 8 ways as a sum of consecutive naturals, for example, 88435537 + ... + 88437935.

Almost surely, 2^212159729664 is an apocalyptic number.

212159729664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

212159729664 is the 460608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212159729664

212159729664 is an abundant number, since it is smaller than the sum of its proper divisors (400926897619).

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

212159729664 is an frugal number, since it uses more digits than its factorization.

212159729664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4828 (or 2404 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 212159729664 in words is "two hundred twelve billion, one hundred fifty-nine million, seven hundred twenty-nine thousand, six hundred sixty-four".