11144934900 has 324 divisors, whose sum is σ = 39732938700. Its totient is φ = 2607897600.

The previous prime is 11144934887. The next prime is 11144934907. The reversal of 11144934900 is 943944111.

11144934900 = 25³ + 26³ + ... + 459³.

It can be written as a sum of positive squares in 6 ways, for example, as 1435197456 + 9709737444 = 37884^2 + 98538^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144934907) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3156336 + ... + 3159864.

Almost surely, 2^11144934900 is an apocalyptic number.

11144934900 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 11144934900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19866469350).

11144934900 is an abundant number, since it is smaller than the sum of its proper divisors (28588003800).

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

11144934900 is a wasteful number, since it uses less digits than its factorization.

11144934900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3600 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11144934900 in words is "eleven billion, one hundred forty-four million, nine hundred thirty-four thousand, nine hundred".