1046453117328 has 200 divisors, whose sum is σ = 3063893650488. Its totient is φ = 344785932288.

The previous prime is 1046453117323. The next prime is 1046453117377. The reversal of 1046453117328 is 8237113546401.

1046453117328 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 5 + 311 + 7 + 328 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48667889664 + 997785227664 = 220608^2 + 998892^2 .

It is not an unprimeable number, because it can be changed into a prime (1046453117323) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54615526 + ... + 54634682.

Almost surely, 2^{1046453117328} is an apocalyptic number.

1046453117328 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 1046453117328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531946825244).

1046453117328 is an abundant number, since it is smaller than the sum of its proper divisors (2017440533160).

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

1046453117328 is a wasteful number, since it uses less digits than its factorization.

1046453117328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19663 (or 19648 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1046453117328 in words is "one trillion, forty-six billion, four hundred fifty-three million, one hundred seventeen thousand, three hundred twenty-eight".