1000471147668 has 288 divisors, whose sum is σ = 2776421007360. Its totient is φ = 302920853760.

The previous prime is 1000471147603. The next prime is 1000471147691. The reversal of 1000471147668 is 8667411740001.

1000471147668 is a `hidden beast` number, since 100 + 0 + 4 + 7 + 11 + 476 + 68 = 666.

It is a super-2 number, since 2×1000471147668² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 315903421 + ... + 315906587.

It is an arithmetic number, because the mean of its divisors is an integer number (9640350720).

Almost surely, 2^{1000471147668} is an apocalyptic number.

1000471147668 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 1000471147668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388210503680).

1000471147668 is an abundant number, since it is smaller than the sum of its proper divisors (1775949859692).

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

1000471147668 is a wasteful number, since it uses less digits than its factorization.

1000471147668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

Adding to 1000471147668 its reverse (8667411740001), we get a palindrome (9667882887669).

The spelling of 1000471147668 in words is "one trillion, four hundred seventy-one million, one hundred forty-seven thousand, six hundred sixty-eight".