211207306464 has 768 divisors, whose sum is σ = 810250076160. Its totient is φ = 51896401920.

The previous prime is 211207306411. The next prime is 211207306481. The reversal of 211207306464 is 464603702112.

211207306464 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 0 + 7 + 3 + 0 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 148423257 + ... + 148424679.

It is an arithmetic number, because the mean of its divisors is an integer number (1055013120).

Almost surely, 2^211207306464 is an apocalyptic number.

211207306464 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 211207306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405125038080).

211207306464 is an abundant number, since it is smaller than the sum of its proper divisors (599042769696).

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

211207306464 is a wasteful number, since it uses less digits than its factorization.

211207306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 211207306464 in words is "two hundred eleven billion, two hundred seven million, three hundred six thousand, four hundred sixty-four".