1134950632200 has 1440 divisors, whose sum is σ = 5266322978400. Its totient is φ = 223388928000.

The previous prime is 1134950632159. The next prime is 1134950632201. The reversal of 1134950632200 is 22360594311.

1134950632200 is a `hidden beast` number, since 1 + 1 + 349 + 50 + 63 + 2 + 200 = 666.

It is a super-2 number, since 2×1134950632200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1134950632201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 165900780 + ... + 165907620.

It is an arithmetic number, because the mean of its divisors is an integer number (3657168735).

Almost surely, 2^{1134950632200} is an apocalyptic number.

1134950632200 is a gapful number since it is divisible by the number (10) 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 1134950632200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633161489200).

1134950632200 is an abundant number, since it is smaller than the sum of its proper divisors (4131372346200).

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

1134950632200 is a wasteful number, since it uses less digits than its factorization.

1134950632200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6888 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1134950632200 in words is "one trillion, one hundred thirty-four billion, nine hundred fifty million, six hundred thirty-two thousand, two hundred".