1168867155456 has 1440 divisors, whose sum is σ = 4768617601440. Its totient is φ = 279992401920.

The previous prime is 1168867155431. The next prime is 1168867155497. The reversal of 1168867155456 is 6545517688611.

It is a happy number.

1168867155456 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 8 + 6 + 71 + 554 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1168867155393 and 1168867155402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1065511900 + ... + 1065512996.

It is an arithmetic number, because the mean of its divisors is an integer number (3311540001).

Almost surely, 2^{1168867155456} is an apocalyptic number.

1168867155456 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 1168867155456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384308800720).

1168867155456 is an abundant number, since it is smaller than the sum of its proper divisors (3599750445984).

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

1168867155456 is a wasteful number, since it uses less digits than its factorization.

1168867155456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1133 counting only the distinct ones).

The product of its digits is 48384000, while the sum is 63.

The spelling of 1168867155456 in words is "one trillion, one hundred sixty-eight billion, eight hundred sixty-seven million, one hundred fifty-five thousand, four hundred fifty-six".