129118310941648 has 160 divisors (see below), whose sum is σ = 304878182261760. Its totient is φ = 51792422492160.

The previous prime is 129118310941643. The next prime is 129118310941667. The reversal of 129118310941648 is 846149013811921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 129118310941592 and 129118310941601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129118310941643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30585390 + ... + 34550002.

It is an arithmetic number, because the mean of its divisors is an integer number (1905488639136).

Almost surely, 2^{129118310941648} 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 129118310941648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152439091130880).

129118310941648 is an abundant number, since it is smaller than the sum of its proper divisors (175759871320112).

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

129118310941648 is a wasteful number, since it uses less digits than its factorization.

129118310941648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964965 (or 3964959 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 58.

The spelling of 129118310941648 in words is "one hundred twenty-nine trillion, one hundred eighteen billion, three hundred ten million, nine hundred forty-one thousand, six hundred forty-eight".