958064729136 has 120 divisors (see below), whose sum is σ = 2568414610944. Its totient is φ = 307704787200.

The previous prime is 958064729131. The next prime is 958064729137. The reversal of 958064729136 is 631927460859.

It is a self number, because there is not a number n which added to its sum of digits gives 958064729136.

It is not an unprimeable number, because it can be changed into a prime (958064729131) 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 23 ways as a sum of consecutive naturals, for example, 6697561 + ... + 6839111.

It is a 1-persistent number, because it is pandigital, but 2⋅958064729136 = 1916129458272 is not.

Almost surely, 2^958064729136 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 958064729136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284207305472).

958064729136 is an abundant number, since it is smaller than the sum of its proper divisors (1610349881808).

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

958064729136 is a wasteful number, since it uses less digits than its factorization.

958064729136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141739 (or 141696 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 958064729136 in words is "nine hundred fifty-eight billion, sixty-four million, seven hundred twenty-nine thousand, one hundred thirty-six".