1045596027168 has 1440 divisors, whose sum is σ = 4036489003008. Its totient is φ = 262449331200.

The previous prime is 1045596027167. The next prime is 1045596027181. The reversal of 1045596027168 is 8617206955401.

It is a happy number.

1045596027168 is a `hidden beast` number, since 1 + 0 + 4 + 559 + 6 + 0 + 27 + 1 + 68 = 666.

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 (1045596027167) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8233039521 + ... + 8233039647.

Almost surely, 2^{1045596027168} is an apocalyptic number.

1045596027168 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 1045596027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018244501504).

1045596027168 is an abundant number, since it is smaller than the sum of its proper divisors (2990892975840).

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

1045596027168 is a wasteful number, since it uses less digits than its factorization.

1045596027168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1045596027168 in words is "one trillion, forty-five billion, five hundred ninety-six million, twenty-seven thousand, one hundred sixty-eight".