212806192464 has 180 divisors, whose sum is σ = 622992810804. Its totient is φ = 70412861952.

The previous prime is 212806192447. The next prime is 212806192531. The reversal of 212806192464 is 464291608212.

It is a happy number.

212806192464 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 0 + 619 + 24 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101437154064 + 111369038400 = 318492^2 + 333720^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14374314 + ... + 14389110.

Almost surely, 2^212806192464 is an apocalyptic number.

212806192464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212806192464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311496405402).

212806192464 is an abundant number, since it is smaller than the sum of its proper divisors (410186618340).

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

212806192464 is an equidigital number, since it uses as much as digits as its factorization.

212806192464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14966 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 212806192464 in words is "two hundred twelve billion, eight hundred six million, one hundred ninety-two thousand, four hundred sixty-four".