212464864001 has 8 divisors (see below), whose sum is σ = 228813031104. Its totient is φ = 196117370640.

The previous prime is 212464863979. The next prime is 212464864013. The reversal of 212464864001 is 100468464212.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212464864001 - 2¹⁰ = 212464862977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212464864091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624980 + ... + 903066.

It is an arithmetic number, because the mean of its divisors is an integer number (28601628888).

Almost surely, 2^212464864001 is an apocalyptic number.

It is an amenable number.

212464864001 is a deficient number, since it is larger than the sum of its proper divisors (16348167103).

212464864001 is a wasteful number, since it uses less digits than its factorization.

212464864001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336871.

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 212464864001 in words is "two hundred twelve billion, four hundred sixty-four million, eight hundred sixty-four thousand, one".