1167267863808 has 432 divisors, whose sum is σ = 3615274930176. Its totient is φ = 375380490240.

The previous prime is 1167267863807. The next prime is 1167267863833. The reversal of 1167267863808 is 8083687627611.

1167267863808 is a `hidden beast` number, since 1 + 167 + 26 + 78 + 6 + 380 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1167267863807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207585285 + ... + 207590907.

It is an arithmetic number, because the mean of its divisors is an integer number (8368691968).

Almost surely, 2^{1167267863808} is an apocalyptic number.

1167267863808 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 1167267863808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807637465088).

1167267863808 is an abundant number, since it is smaller than the sum of its proper divisors (2448007066368).

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

1167267863808 is an frugal number, since it uses more digits than its factorization.

1167267863808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1167267863808 in words is "one trillion, one hundred sixty-seven billion, two hundred sixty-seven million, eight hundred sixty-three thousand, eight hundred eight".