1129633596336 has 240 divisors, whose sum is σ = 3495783945984. Its totient is φ = 313234242048.

The previous prime is 1129633596283. The next prime is 1129633596337. The reversal of 1129633596336 is 6336953369211.

It is not an unprimeable number, because it can be changed into a prime (1129633596337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15842781 + ... + 15913923.

Almost surely, 2^{1129633596336} is an apocalyptic number.

1129633596336 is a gapful number since it is divisible by the number (16) 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 1129633596336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747891972992).

1129633596336 is an abundant number, since it is smaller than the sum of its proper divisors (2366150349648).

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

1129633596336 is a wasteful number, since it uses less digits than its factorization.

1129633596336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71368 (or 71355 counting only the distinct ones).

The product of its digits is 14171760, while the sum is 57.

The spelling of 1129633596336 in words is "one trillion, one hundred twenty-nine billion, six hundred thirty-three million, five hundred ninety-six thousand, three hundred thirty-six".