1153945443456 has 512 divisors, whose sum is σ = 3858951801600. Its totient is φ = 337018060800.

The previous prime is 1153945443451. The next prime is 1153945443463. The reversal of 1153945443456 is 6543445493511.

1153945443456 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 94 + 544 + 3 + 4 + 5 + 6 = 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 (1153945443451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68147311 + ... + 68164241.

Almost surely, 2^{1153945443456} is an apocalyptic number.

1153945443456 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 1153945443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929475900800).

1153945443456 is an abundant number, since it is smaller than the sum of its proper divisors (2705006358144).

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

1153945443456 is a wasteful number, since it uses less digits than its factorization.

1153945443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17045 (or 17027 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 1153945443456 in words is "one trillion, one hundred fifty-three billion, nine hundred forty-five million, four hundred forty-three thousand, four hundred fifty-six".