129347446536 has 960 divisors, whose sum is σ = 490721172480. Its totient is φ = 30902135040.

The previous prime is 129347446499. The next prime is 129347446567. The reversal of 129347446536 is 635644743921.

129347446536 is a `hidden beast` number, since 1 + 2 + 9 + 34 + 74 + 4 + 6 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13063680) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 774535525 + ... + 774535691.

It is an arithmetic number, because the mean of its divisors is an integer number (511167888).

Almost surely, 2^129347446536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129347446536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245360586240).

129347446536 is an abundant number, since it is smaller than the sum of its proper divisors (361373725944).

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

129347446536 is a wasteful number, since it uses less digits than its factorization.

129347446536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 252 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 129347446536 in words is "one hundred twenty-nine billion, three hundred forty-seven million, four hundred forty-six thousand, five hundred thirty-six".