2283672982968 has 192 divisors, whose sum is σ = 6825256663680. Its totient is φ = 685320652800.

The previous prime is 2283672982949. The next prime is 2283672982973. The reversal of 2283672982968 is 8692892763822.

2283672982968 is a `hidden beast` number, since 228 + 36 + 7 + 298 + 29 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2283672982896 and 2283672982905.

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 47 ways as a sum of consecutive naturals, for example, 163896930 + ... + 163910862.

It is an arithmetic number, because the mean of its divisors is an integer number (35548211790).

Almost surely, 2^{2283672982968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283672982968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412628331840).

2283672982968 is an abundant number, since it is smaller than the sum of its proper divisors (4541583680712).

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

2283672982968 is a wasteful number, since it uses less digits than its factorization.

2283672982968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18263 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 2283672982968 in words is "two trillion, two hundred eighty-three billion, six hundred seventy-two million, nine hundred eighty-two thousand, nine hundred sixty-eight".