211653714464 has 48 divisors (see below), whose sum is σ = 425054341656. Its totient is φ = 103715942400.

The previous prime is 211653714367. The next prime is 211653714469. The reversal of 211653714464 is 464417356112.

It can be written as a sum of positive squares in 4 ways, for example, as 73040467600 + 138613246864 = 270260^2 + 372308^2 .

It is not an unprimeable number, because it can be changed into a prime (211653714469) 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, 344984 + ... + 736424.

Almost surely, 2^211653714464 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 211653714464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212527170828).

211653714464 is an abundant number, since it is smaller than the sum of its proper divisors (213400627192).

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

211653714464 is a wasteful number, since it uses less digits than its factorization.

211653714464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391789 (or 391781 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The spelling of 211653714464 in words is "two hundred eleven billion, six hundred fifty-three million, seven hundred fourteen thousand, four hundred sixty-four".