1149416517750 has 128 divisors (see below), whose sum is σ = 2909553454080. Its totient is φ = 302176224000.

The previous prime is 1149416517727. The next prime is 1149416517791. The reversal of 1149416517750 is 577156149411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1149416517693 and 1149416517702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195509311 + ... + 195515189.

It is an arithmetic number, because the mean of its divisors is an integer number (22730886360).

Almost surely, 2^{1149416517750} is an apocalyptic number.

1149416517750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149416517750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454776727040).

1149416517750 is an abundant number, since it is smaller than the sum of its proper divisors (1760136936330).

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

1149416517750 is a wasteful number, since it uses less digits than its factorization.

1149416517750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 1149416517750 in words is "one trillion, one hundred forty-nine billion, four hundred sixteen million, five hundred seventeen thousand, seven hundred fifty".