2838227567616 has 891 divisors, whose sum is σ = 10058114724021. Its totient is φ = 768548487168.

The previous prime is 2838227567611. The next prime is 2838227567633. The reversal of 2838227567616 is 6167657228382.

The square root of 2838227567616 is 1684704.

It is a perfect power (a square), and thus also a powerful number.

2838227567616 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 2 + 2 + 7 + 5 + 6 + 7 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1978230998016 + 859996569600 = 1406496^2 + 927360^2 .

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

Its product of digits (81285120) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2838227567611) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26038784970 + ... + 26038785078.

Almost surely, 2^{2838227567616} is an apocalyptic number.

2838227567616 is the 1684704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838227567616

2838227567616 is an abundant number, since it is smaller than the sum of its proper divisors (7219887156405).

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

2838227567616 is a wasteful number, since it uses less digits than its factorization.

2838227567616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 144 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 2838227567616 in words is "two trillion, eight hundred thirty-eight billion, two hundred twenty-seven million, five hundred sixty-seven thousand, six hundred sixteen".