1166348777472 has 576 divisors, whose sum is σ = 3709040025600. Its totient is φ = 351499714560.

The previous prime is 1166348777423. The next prime is 1166348777491. The reversal of 1166348777472 is 2747778436611.

It is a happy number.

1166348777472 is a `hidden beast` number, since 1 + 1 + 66 + 34 + 8 + 7 + 77 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622181529 + ... + 1622182247.

It is an arithmetic number, because the mean of its divisors is an integer number (6439305600).

Almost surely, 2^{1166348777472} is an apocalyptic number.

1166348777472 is a gapful number since it is divisible by the number (12) 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 1166348777472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854520012800).

1166348777472 is an abundant number, since it is smaller than the sum of its proper divisors (2542691248128).

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

1166348777472 is a wasteful number, since it uses less digits than its factorization.

1166348777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 939 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 1166348777472 in words is "one trillion, one hundred sixty-six billion, three hundred forty-eight million, seven hundred seventy-seven thousand, four hundred seventy-two".