21468989529 has 75 divisors (see below), whose sum is σ = 35694558653. Its totient is φ = 12434527872.

The previous prime is 21468989501. The next prime is 21468989551. The reversal of 21468989529 is 92598986412.

The square root of 21468989529 is 146523.

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

21468989529 is a `hidden beast` number, since 2 + 14 + 6 + 8 + 98 + 9 + 529 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 20700591129 + 768398400 = 143877^2 + 27720^2 .

It is not a de Polignac number, because 21468989529 - 2⁵ = 21468989497 is a prime.

It is a super-2 number, since 2×21468989529² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21468989569) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1262881729 + ... + 1262881745.

Almost surely, 2^21468989529 is an apocalyptic number.

21468989529 is the 146523-rd square number.

21468989529 is the 73262-nd centered octagonal number.

It is an amenable number.

21468989529 is a deficient number, since it is larger than the sum of its proper divisors (14225569124).

21468989529 is an frugal number, since it uses more digits than its factorization.

21468989529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 33 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 21468989529 in words is "twenty-one billion, four hundred sixty-eight million, nine hundred eighty-nine thousand, five hundred twenty-nine".