1177766351136 has 384 divisors, whose sum is σ = 3532178845440. Its totient is φ = 381696344064.

The previous prime is 1177766351033. The next prime is 1177766351213. The reversal of 1177766351136 is 6311536677711.

It is a happy number.

1177766351136 is a `hidden beast` number, since 117 + 7 + 7 + 6 + 6 + 3 + 511 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1831673631 + ... + 1831674273.

It is an arithmetic number, because the mean of its divisors is an integer number (9198382410).

Almost surely, 2^{1177766351136} is an apocalyptic number.

1177766351136 is a gapful number since it is divisible by the number (16) 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 1177766351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766089422720).

1177766351136 is an abundant number, since it is smaller than the sum of its proper divisors (2354412494304).

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

1177766351136 is a wasteful number, since it uses less digits than its factorization.

1177766351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its digits is 3333960, while the sum is 54.

The spelling of 1177766351136 in words is "one trillion, one hundred seventy-seven billion, seven hundred sixty-six million, three hundred fifty-one thousand, one hundred thirty-six".