211534125535344 has 160 divisors (see below), whose sum is σ = 584996957798400. Its totient is φ = 65665458881280.

The previous prime is 211534125535319. The next prime is 211534125535349. The reversal of 211534125535344 is 443535521435112.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 211534125535293 and 211534125535302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211534125535349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725184599 + ... + 1725307209.

It is an arithmetic number, because the mean of its divisors is an integer number (3656230986240).

Almost surely, 2^{211534125535344} is an apocalyptic number.

211534125535344 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 211534125535344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292498478899200).

211534125535344 is an abundant number, since it is smaller than the sum of its proper divisors (373462832263056).

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

211534125535344 is a wasteful number, since it uses less digits than its factorization.

211534125535344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154763 (or 154757 counting only the distinct ones).

The product of its digits is 4320000, while the sum is 48.

The spelling of 211534125535344 in words is "two hundred eleven trillion, five hundred thirty-four billion, one hundred twenty-five million, five hundred thirty-five thousand, three hundred forty-four".