1144706224900 has 72 divisors (see below), whose sum is σ = 2851377875136. Its totient is φ = 390741705600.

The previous prime is 1144706224859. The next prime is 1144706224903. The reversal of 1144706224900 is 94226074411.

It is not an unprimeable number, because it can be changed into a prime (1144706224903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3443071 + ... + 3760870.

It is an arithmetic number, because the mean of its divisors is an integer number (39602470488).

Almost surely, 2^{1144706224900} is an apocalyptic number.

1144706224900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144706224900 is an abundant number, since it is smaller than the sum of its proper divisors (1706671650236).

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

1144706224900 is a wasteful number, since it uses less digits than its factorization.

1144706224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204189 (or 7204182 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1144706224900 in words is "one trillion, one hundred forty-four billion, seven hundred six million, two hundred twenty-four thousand, nine hundred".