211014711640 has 64 divisors (see below), whose sum is σ = 495531380160. Its totient is φ = 80718865920.

The previous prime is 211014711631. The next prime is 211014711641. The reversal of 211014711640 is 46117410112.

It is a super-3 number, since 3×211014711640³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211014711599 and 211014711608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211014711641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4818322 + ... + 4861918.

It is an arithmetic number, because the mean of its divisors is an integer number (7742677815).

Almost surely, 2^211014711640 is an apocalyptic number.

211014711640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211014711640 is an abundant number, since it is smaller than the sum of its proper divisors (284516668520).

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

211014711640 is a wasteful number, since it uses less digits than its factorization.

211014711640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48892 (or 48888 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

The spelling of 211014711640 in words is "two hundred eleven billion, fourteen million, seven hundred eleven thousand, six hundred forty".