1408983227568 has 320 divisors, whose sum is σ = 4740268032000. Its totient is φ = 392343388416.

The previous prime is 1408983227551. The next prime is 1408983227569. The reversal of 1408983227568 is 8657223898041.

1408983227568 is a `hidden beast` number, since 1 + 40 + 8 + 9 + 8 + 3 + 2 + 27 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1408983227569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33947853 + ... + 33989331.

It is an arithmetic number, because the mean of its divisors is an integer number (14813337600).

It is a 1-persistent number, because it is pandigital, but 2⋅1408983227568 = 2817966455136 is not.

Almost surely, 2^{1408983227568} is an apocalyptic number.

1408983227568 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 1408983227568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370134016000).

1408983227568 is an abundant number, since it is smaller than the sum of its proper divisors (3331284804432).

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

1408983227568 is a wasteful number, since it uses less digits than its factorization.

1408983227568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41789 (or 41777 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 1408983227568 in words is "one trillion, four hundred eight billion, nine hundred eighty-three million, two hundred twenty-seven thousand, five hundred sixty-eight".