1166122951308 has 288 divisors, whose sum is σ = 3759606264960. Its totient is φ = 297051955200.

The previous prime is 1166122951303. The next prime is 1166122951313. The reversal of 1166122951308 is 8031592216611.

It is a happy number.

1166122951308 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 122 + 9 + 513 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1166122951303) and next prime (1166122951313).

It is not an unprimeable number, because it can be changed into a prime (1166122951303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6495958 + ... + 6673058.

It is an arithmetic number, because the mean of its divisors is an integer number (13054188420).

Almost surely, 2^{1166122951308} is an apocalyptic number.

1166122951308 is a gapful number since it is divisible by the number (18) 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 1166122951308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879803132480).

1166122951308 is an abundant number, since it is smaller than the sum of its proper divisors (2593483313652).

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

1166122951308 is a wasteful number, since it uses less digits than its factorization.

1166122951308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177217 (or 177212 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1166122951308 in words is "one trillion, one hundred sixty-six billion, one hundred twenty-two million, nine hundred fifty-one thousand, three hundred eight".