1061645584896 has 480 divisors, whose sum is σ = 3623262971328. Its totient is φ = 307436912640.

The previous prime is 1061645584891. The next prime is 1061645584957. The reversal of 1061645584896 is 6984855461601.

1061645584896 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 45 + 584 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×1061645584896² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1061645584891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27476631 + ... + 27515241.

Almost surely, 2^{1061645584896} is an apocalyptic number.

1061645584896 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 1061645584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811631485664).

1061645584896 is an abundant number, since it is smaller than the sum of its proper divisors (2561617386432).

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

1061645584896 is an equidigital number, since it uses as much as digits as its factorization.

1061645584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38674 (or 38646 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1061645584896 in words is "one trillion, sixty-one billion, six hundred forty-five million, five hundred eighty-four thousand, eight hundred ninety-six".