1144766910000 has 1200 divisors, whose sum is σ = 4793220178560. Its totient is φ = 233210880000.

The previous prime is 1144766909969. The next prime is 1144766910167. The reversal of 1144766910000 is 196674411.

It is a tau number, because it is divible by the number of its divisors (1200).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 474808795 + ... + 474811205.

Almost surely, 2^{1144766910000} is an apocalyptic number.

1144766910000 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 1144766910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396610089280).

1144766910000 is an abundant number, since it is smaller than the sum of its proper divisors (3648453268560).

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

1144766910000 is a wasteful number, since it uses less digits than its factorization.

1144766910000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 1144766910000 in words is "one trillion, one hundred forty-four billion, seven hundred sixty-six million, nine hundred ten thousand".