212045395968 has 192 divisors, whose sum is σ = 717863328000. Its totient is φ = 60584288256.

The previous prime is 212045395967. The next prime is 212045395973. The reversal of 212045395968 is 869593540212.

212045395968 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 45 + 3 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212045395963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113163 + ... + 660981.

It is an arithmetic number, because the mean of its divisors is an integer number (3738871500).

Almost surely, 2^212045395968 is an apocalyptic number.

212045395968 is a gapful number since it is divisible by the number (28) 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 212045395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358931664000).

212045395968 is an abundant number, since it is smaller than the sum of its proper divisors (505817932032).

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

212045395968 is an equidigital number, since it uses as much as digits as its factorization.

212045395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547857 (or 547831 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 212045395968 in words is "two hundred twelve billion, forty-five million, three hundred ninety-five thousand, nine hundred sixty-eight".