211454540000000 has 288 divisors, whose sum is σ = 575566969513536. Its totient is φ = 76892480000000.

The previous prime is 211454539999999. The next prime is 211454540000009. The reversal of 211454540000000 is 45454112.

It is a super-2 number, since 2×211454540000000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211454540000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219519422 + ... + 220480578.

It is an arithmetic number, because the mean of its divisors is an integer number (1998496421922).

Almost surely, 2^{211454540000000} is an apocalyptic number.

211454540000000 is a gapful number since it is divisible by the number (20) 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 211454540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287783484756768).

211454540000000 is an abundant number, since it is smaller than the sum of its proper divisors (364112429513536).

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

211454540000000 is an frugal number, since it uses more digits than its factorization.

211454540000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961219 (or 961175 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 211454540000000 its reverse (45454112), we get a palindrome (211454585454112).

The spelling of 211454540000000 in words is "two hundred eleven trillion, four hundred fifty-four billion, five hundred forty million", and thus it is an aban number.