1059381243648 has 1728 divisors, whose sum is σ = 4244283912960. Its totient is φ = 246140633088.

The previous prime is 1059381243647. The next prime is 1059381243673. The reversal of 1059381243648 is 8463421839501.

It is a happy number.

1059381243648 is a `hidden beast` number, since 1 + 0 + 5 + 93 + 81 + 2 + 436 + 48 = 666.

It is a super-2 number, since 2×1059381243648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1059381243594 and 1059381243603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059381243643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3824480886 + ... + 3824481162.

It is an arithmetic number, because the mean of its divisors is an integer number (2456182820).

Almost surely, 2^{1059381243648} is an apocalyptic number.

1059381243648 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 1059381243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122141956480).

1059381243648 is an abundant number, since it is smaller than the sum of its proper divisors (3184902669312).

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

1059381243648 is a wasteful number, since it uses less digits than its factorization.

1059381243648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1059381243648 in words is "one trillion, fifty-nine billion, three hundred eighty-one million, two hundred forty-three thousand, six hundred forty-eight".