211405266452151 has 16 divisors (see below), whose sum is σ = 313193661335520. Its totient is φ = 140936541001920.

The previous prime is 211405266452129. The next prime is 211405266452179. The reversal of 211405266452151 is 151254662504112.

211405266452151 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 0 + 526 + 64 + 52 + 15 + 1 = 666.

It is not a de Polignac number, because 211405266452151 - 2¹⁴ = 211405266435767 is a prime.

It is a super-2 number, since 2×211405266452151² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211405266452097 and 211405266452106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211405266452101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4726971 + ... + 21098691.

It is an arithmetic number, because the mean of its divisors is an integer number (19574603833470).

Almost surely, 2^{211405266452151} is an apocalyptic number.

211405266452151 is a deficient number, since it is larger than the sum of its proper divisors (101788394883369).

211405266452151 is a wasteful number, since it uses less digits than its factorization.

211405266452151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16849983 (or 16849977 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 211405266452151 in words is "two hundred eleven trillion, four hundred five billion, two hundred sixty-six million, four hundred fifty-two thousand, one hundred fifty-one".