129577734468 has 288 divisors, whose sum is σ = 414780317952. Its totient is φ = 33194188800.

The previous prime is 129577734457. The next prime is 129577734469. The reversal of 129577734468 is 864437775921.

129577734468 is a `hidden beast` number, since 1 + 29 + 57 + 77 + 34 + 468 = 666.

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 (129577734469) 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 95 ways as a sum of consecutive naturals, for example, 32368155 + ... + 32372157.

Almost surely, 2^129577734468 is an apocalyptic number.

129577734468 is a gapful number since it is divisible by the number (18) 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 129577734468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207390158976).

129577734468 is an abundant number, since it is smaller than the sum of its proper divisors (285202583484).

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

129577734468 is a wasteful number, since it uses less digits than its factorization.

129577734468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4310 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 129577734468 in words is "one hundred twenty-nine billion, five hundred seventy-seven million, seven hundred thirty-four thousand, four hundred sixty-eight".