1054208303568 has 960 divisors, whose sum is σ = 3715474194432. Its totient is φ = 283116072960.

The previous prime is 1054208303563. The next prime is 1054208303569. The reversal of 1054208303568 is 8653038024501.

1054208303568 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 0 + 83 + 0 + 3 + 568 = 666.

It is a super-2 number, since 2×1054208303568² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054208303563) 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, 6093689530 + ... + 6093689702.

Almost surely, 2^{1054208303568} is an apocalyptic number.

1054208303568 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 1054208303568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857737097216).

1054208303568 is an abundant number, since it is smaller than the sum of its proper divisors (2661265890864).

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

1054208303568 is a wasteful number, since it uses less digits than its factorization.

1054208303568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1054208303568 in words is "one trillion, fifty-four billion, two hundred eight million, three hundred three thousand, five hundred sixty-eight".