129890169864 has 224 divisors, whose sum is σ = 449416067520. Its totient is φ = 34256608128.

The previous prime is 129890169863. The next prime is 129890169881. The reversal of 129890169864 is 468961098921.

It is a super-3 number, since 3×129890169864³ (a number of 34 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (129890169863) 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 55 ways as a sum of consecutive naturals, for example, 408339 + ... + 653085.

It is an arithmetic number, because the mean of its divisors is an integer number (2006321730).

Almost surely, 2^129890169864 is an apocalyptic number.

129890169864 is a gapful number since it is divisible by the number (14) 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 129890169864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224708033760).

129890169864 is an abundant number, since it is smaller than the sum of its proper divisors (319525897656).

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

129890169864 is a wasteful number, since it uses less digits than its factorization.

129890169864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244791 (or 244772 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 129890169864 in words is "one hundred twenty-nine billion, eight hundred ninety million, one hundred sixty-nine thousand, eight hundred sixty-four".