1144709414784 has 512 divisors, whose sum is σ = 3923390016000. Its totient is φ = 325531975680.

The previous prime is 1144709414777. The next prime is 1144709414839. The reversal of 1144709414784 is 4874149074411.

It is a happy number.

1144709414784 is a `hidden beast` number, since 1 + 1 + 4 + 470 + 94 + 1 + 4 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1144709414784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34982559 + ... + 35015265.

It is an arithmetic number, because the mean of its divisors is an integer number (7662871125).

Almost surely, 2^{1144709414784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144709414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961695008000).

1144709414784 is an abundant number, since it is smaller than the sum of its proper divisors (2778680601216).

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

1144709414784 is a wasteful number, since it uses less digits than its factorization.

1144709414784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32803 (or 32785 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1144709414784 in words is "one trillion, one hundred forty-four billion, seven hundred nine million, four hundred fourteen thousand, seven hundred eighty-four".