1134099967000 has 768 divisors, whose sum is σ = 3622859735040. Its totient is φ = 323326080000.

The previous prime is 1134099966997. The next prime is 1134099967003. The reversal of 1134099967000 is 7699904311.

It is an interprime number because it is at equal distance from previous prime (1134099966997) and next prime (1134099967003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134099967003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1398396595 + ... + 1398397405.

It is an arithmetic number, because the mean of its divisors is an integer number (4717265280).

Almost surely, 2^{1134099967000} is an apocalyptic number.

1134099967000 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 1134099967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811429867520).

1134099967000 is an abundant number, since it is smaller than the sum of its proper divisors (2488759768040).

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

1134099967000 is a wasteful number, since it uses less digits than its factorization.

1134099967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

The spelling of 1134099967000 in words is "one trillion, one hundred thirty-four billion, ninety-nine million, nine hundred sixty-seven thousand".