1144556561664 has 216 divisors, whose sum is σ = 3453790721472. Its totient is φ = 363842519040.

The previous prime is 1144556561587. The next prime is 1144556561683. The reversal of 1144556561664 is 4661656554411.

1144556561664 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 5 + 565 + 6 + 16 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1144556561664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17826259 + ... + 17890349.

Almost surely, 2^{1144556561664} 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 1144556561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726895360736).

1144556561664 is an abundant number, since it is smaller than the sum of its proper divisors (2309234159808).

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

1144556561664 is a wasteful number, since it uses less digits than its factorization.

1144556561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64473 (or 64456 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 1144556561664 in words is "one trillion, one hundred forty-four billion, five hundred fifty-six million, five hundred sixty-one thousand, six hundred sixty-four".