1126765479168 has 864 divisors, whose sum is σ = 4291960458240. Its totient is φ = 287012782080.

The previous prime is 1126765479163. The next prime is 1126765479173. The reversal of 1126765479168 is 8619745676211.

1126765479168 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 76 + 547 + 9 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1126765479163) and next prime (1126765479173).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126765479163) 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, 140648283 + ... + 140656293.

Almost surely, 2^{1126765479168} is an apocalyptic number.

1126765479168 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 1126765479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145980229120).

1126765479168 is an abundant number, since it is smaller than the sum of its proper divisors (3165194979072).

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

1126765479168 is an equidigital number, since it uses as much as digits as its factorization.

1126765479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8085 (or 8059 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 1126765479168 in words is "one trillion, one hundred twenty-six billion, seven hundred sixty-five million, four hundred seventy-nine thousand, one hundred sixty-eight".