211356929664 has 128 divisors (see below), whose sum is σ = 623962560000. Its totient is φ = 70433556480.

The previous prime is 211356929659. The next prime is 211356929671. The reversal of 211356929664 is 466929653112.

211356929664 is a `hidden beast` number, since 2 + 1 + 13 + 569 + 2 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 211356929664.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20319537 + ... + 20329935.

It is an arithmetic number, because the mean of its divisors is an integer number (4874707500).

Almost surely, 2^211356929664 is an apocalyptic number.

211356929664 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 211356929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311981280000).

211356929664 is an abundant number, since it is smaller than the sum of its proper divisors (412605630336).

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

211356929664 is a wasteful number, since it uses less digits than its factorization.

211356929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16303 (or 16285 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 211356929664 in words is "two hundred eleven billion, three hundred fifty-six million, nine hundred twenty-nine thousand, six hundred sixty-four".