1164452889600 has 4752 divisors, whose sum is σ = 6193313852544. Its totient is φ = 210213273600.

The previous prime is 1164452889571. The next prime is 1164452889623. The reversal of 1164452889600 is 69882544611.

1164452889600 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 4 + 5 + 28 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 68497228792 + ... + 68497228808.

Almost surely, 2^{1164452889600} is an apocalyptic number.

1164452889600 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 1164452889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096656926272).

1164452889600 is an abundant number, since it is smaller than the sum of its proper divisors (5028860962944).

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

1164452889600 is a wasteful number, since it uses less digits than its factorization.

1164452889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1164452889600 in words is "one trillion, one hundred sixty-four billion, four hundred fifty-two million, eight hundred eighty-nine thousand, six hundred".