1145824610000 has 200 divisors, whose sum is σ = 3222450785664. Its totient is φ = 386412480000.

The previous prime is 1145824609991. The next prime is 1145824610003. The reversal of 1145824610000 is 164285411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×1145824610000³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145824610003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4135829 + ... + 4404171.

Almost surely, 2^{1145824610000} is an apocalyptic number.

1145824610000 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 1145824610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611225392832).

1145824610000 is an abundant number, since it is smaller than the sum of its proper divisors (2076626175664).

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

1145824610000 is an equidigital number, since it uses as much as digits as its factorization.

1145824610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268439 (or 268418 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 1145824610000 its reverse (164285411), we get a palindrome (1145988895411).

The spelling of 1145824610000 in words is "one trillion, one hundred forty-five billion, eight hundred twenty-four million, six hundred ten thousand".