11144770000 has 400 divisors, whose sum is σ = 34209949312. Its totient is φ = 3421440000.

The previous prime is 11144769949. The next prime is 11144770001. The reversal of 11144770000 is 7744111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144770001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33669835 + ... + 33670165.

Almost surely, 2^11144770000 is an apocalyptic number.

11144770000 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 11144770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104974656).

11144770000 is an abundant number, since it is smaller than the sum of its proper divisors (23065179312).

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

11144770000 is a wasteful number, since it uses less digits than its factorization.

11144770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The spelling of 11144770000 in words is "eleven billion, one hundred forty-four million, seven hundred seventy thousand".