2823493417668 has 288 divisors, whose sum is σ = 9525528649728. Its totient is φ = 709717075200.

The previous prime is 2823493417627. The next prime is 2823493417729. The reversal of 2823493417668 is 8667143943282.

2823493417668 is a `hidden beast` number, since 2 + 82 + 3 + 493 + 4 + 1 + 7 + 6 + 68 = 666.

It is a super-2 number, since 2×2823493417668² (a number of 26 digits) contains 22 as substring.

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

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, 1711696 + ... + 2928632.

It is an arithmetic number, because the mean of its divisors is an integer number (33074752256).

Almost surely, 2^{2823493417668} is an apocalyptic number.

2823493417668 is a gapful number since it is divisible by the number (28) 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 2823493417668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762764324864).

2823493417668 is an abundant number, since it is smaller than the sum of its proper divisors (6702035232060).

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

2823493417668 is a wasteful number, since it uses less digits than its factorization.

2823493417668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217005 (or 1216991 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 2823493417668 in words is "two trillion, eight hundred twenty-three billion, four hundred ninety-three million, four hundred seventeen thousand, six hundred sixty-eight".