211346007005952 has 648 divisors, whose sum is σ = 763513427354496. Its totient is φ = 55729672814592.

The previous prime is 211346007005951. The next prime is 211346007005971. The reversal of 211346007005952 is 259500700643112.

211346007005952 is a `hidden beast` number, since 2 + 1 + 1 + 34 + 600 + 7 + 0 + 0 + 5 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211346007005898 and 211346007005907.

It is not an unprimeable number, because it can be changed into a prime (211346007005951) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12162390288 + ... + 12162407664.

Almost surely, 2^{211346007005952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211346007005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381756713677248).

211346007005952 is an abundant number, since it is smaller than the sum of its proper divisors (552167420348544).

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

211346007005952 is a wasteful number, since it uses less digits than its factorization.

211346007005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25713 (or 25689 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 211346007005952 in words is "two hundred eleven trillion, three hundred forty-six billion, seven million, five thousand, nine hundred fifty-two".