212972130846864 has 640 divisors, whose sum is σ = 665432838144000. Its totient is φ = 65001272573952.

The previous prime is 212972130846829. The next prime is 212972130846967. The reversal of 212972130846864 is 468648031279212.

212972130846864 is a `hidden beast` number, since 2 + 1 + 2 + 97 + 21 + 3 + 0 + 8 + 468 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10200292777 + ... + 10200313655.

It is an arithmetic number, because the mean of its divisors is an integer number (1039738809600).

Almost surely, 2^{212972130846864} is an apocalyptic number.

212972130846864 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 212972130846864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332716419072000).

212972130846864 is an abundant number, since it is smaller than the sum of its proper divisors (452460707297136).

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

212972130846864 is a wasteful number, since it uses less digits than its factorization.

212972130846864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 212972130846864 in words is "two hundred twelve trillion, nine hundred seventy-two billion, one hundred thirty million, eight hundred forty-six thousand, eight hundred sixty-four".