1129146158504 has 96 divisors (see below), whose sum is σ = 2631586086720. Its totient is φ = 444726517248.

The previous prime is 1129146158461. The next prime is 1129146158519. The reversal of 1129146158504 is 4058516419211.

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 23 ways as a sum of consecutive naturals, for example, 1885532 + ... + 2411124.

It is an arithmetic number, because the mean of its divisors is an integer number (27412355070).

Almost surely, 2^{1129146158504} is an apocalyptic number.

1129146158504 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 1129146158504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315793043360).

1129146158504 is an abundant number, since it is smaller than the sum of its proper divisors (1502439928216).

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

1129146158504 is a wasteful number, since it uses less digits than its factorization.

1129146158504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525859 (or 525842 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 47.

The spelling of 1129146158504 in words is "one trillion, one hundred twenty-nine billion, one hundred forty-six million, one hundred fifty-eight thousand, five hundred four".