11145346380 has 144 divisors (see below), whose sum is σ = 38932717824. Its totient is φ = 2528023680.

The previous prime is 11145346361. The next prime is 11145346411. The reversal of 11145346380 is 8364354111.

11145346380 is a `hidden beast` number, since 1 + 1 + 14 + 5 + 3 + 4 + 638 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131299 + ... + 198821.

It is an arithmetic number, because the mean of its divisors is an integer number (270366096).

Almost surely, 2^11145346380 is an apocalyptic number.

11145346380 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 11145346380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19466358912).

11145346380 is an abundant number, since it is smaller than the sum of its proper divisors (27787371444).

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

11145346380 is a wasteful number, since it uses less digits than its factorization.

11145346380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67676 (or 67671 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11145346380 in words is "eleven billion, one hundred forty-five million, three hundred forty-six thousand, three hundred eighty".