21112986542769 has 135 divisors (see below), whose sum is σ = 34993459077577. Its totient is φ = 12728755967400.

The previous prime is 21112986542759. The next prime is 21112986542819. The reversal of 21112986542769 is 96724568921112.

The square root of 21112986542769 is 4594887.

It is a perfect power (a square), and thus also a powerful number.

21112986542769 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 2 + 9 + 86 + 542 + 7 + 6 + 9 = 666.

It is not a de Polignac number, because 21112986542769 - 2⁹ = 21112986542257 is a prime.

It is a super-2 number, since 2×21112986542769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21112986542719) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 110539196464 + ... + 110539196654.

Almost surely, 2^{21112986542769} is an apocalyptic number.

21112986542769 is the 4594887-th square number.

21112986542769 is the 2297444-th centered octagonal number.

It is an amenable number.

21112986542769 is a deficient number, since it is larger than the sum of its proper divisors (13880472534808).

21112986542769 is an frugal number, since it uses more digits than its factorization.

21112986542769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 205 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 21112986542769 in words is "twenty-one trillion, one hundred twelve billion, nine hundred eighty-six million, five hundred forty-two thousand, seven hundred sixty-nine".