129234498064 has 135 divisors (see below), whose sum is σ = 300222309933. Its totient is φ = 53733988224.

The previous prime is 129234498059. The next prime is 129234498067. The reversal of 129234498064 is 460894432921.

The square root of 129234498064 is 359492.

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

It can be written as a sum of positive squares in only one way, i.e., 115640803600 + 13593694464 = 340060^2 + 116592^2 .

It is a super-3 number, since 3×129234498064³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (129234498067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 372433539 + ... + 372433885.

Almost surely, 2^129234498064 is an apocalyptic number.

129234498064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129234498064 is the 359492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129234498064

129234498064 is an abundant number, since it is smaller than the sum of its proper divisors (170987811869).

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

129234498064 is an frugal number, since it uses more digits than its factorization.

129234498064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 129234498064 in words is "one hundred twenty-nine billion, two hundred thirty-four million, four hundred ninety-eight thousand, sixty-four".