1167723260928 has 1056 divisors, whose sum is σ = 4360491233280. Its totient is φ = 301040271360.

The previous prime is 1167723260923. The next prime is 1167723260939. The reversal of 1167723260928 is 8290623277611.

It is a happy number.

1167723260928 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 7 + 2 + 3 + 2 + 609 + 28 = 666.

It is a super-2 number, since 2×1167723260928² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1167723260923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10913301451 + ... + 10913301557.

Almost surely, 2^{1167723260928} is an apocalyptic number.

1167723260928 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 1167723260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180245616640).

1167723260928 is an abundant number, since it is smaller than the sum of its proper divisors (3192767972352).

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

1167723260928 is a wasteful number, since it uses less digits than its factorization.

1167723260928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1167723260928 in words is "one trillion, one hundred sixty-seven billion, seven hundred twenty-three million, two hundred sixty thousand, nine hundred twenty-eight".