1144611648000 has 560 divisors, whose sum is σ = 4279457867256. Its totient is φ = 305217331200.

The previous prime is 1144611647987. The next prime is 1144611648043. The reversal of 1144611648000 is 8461164411.

It is a happy number.

1144611648000 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 6 + 1 + 1 + 648 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68761426176 + 1075850221824 = 262224^2 + 1037232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46643734 + ... + 46668266.

Almost surely, 2^{1144611648000} is an apocalyptic number.

1144611648000 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 1144611648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139728933628).

1144611648000 is an abundant number, since it is smaller than the sum of its proper divisors (3134846219256).

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

1144611648000 is an frugal number, since it uses more digits than its factorization.

1144611648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24584 (or 24543 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1144611648000 in words is "one trillion, one hundred forty-four billion, six hundred eleven million, six hundred forty-eight thousand".