11142745900 has 288 divisors, whose sum is σ = 29608104960. Its totient is φ = 3585792000.

The previous prime is 11142745879. The next prime is 11142745903. The reversal of 11142745900 is 954724111.

It is not an unprimeable number, because it can be changed into a prime (11142745903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39653760 + ... + 39654040.

It is an arithmetic number, because the mean of its divisors is an integer number (102805920).

Almost surely, 2^11142745900 is an apocalyptic number.

11142745900 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 11142745900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804052480).

11142745900 is an abundant number, since it is smaller than the sum of its proper divisors (18465359060).

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

11142745900 is a wasteful number, since it uses less digits than its factorization.

11142745900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 11142745900 in words is "eleven billion, one hundred forty-two million, seven hundred forty-five thousand, nine hundred".