84880743649 has 27 divisors (see below), whose sum is σ = 93493139193. Its totient is φ = 77026427712.

The previous prime is 84880743569. The next prime is 84880743667. The reversal of 84880743649 is 94634708848.

The square root of 84880743649 is 291343.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8539053649 + 76341690000 = 92407^2 + 276300^2 .

It is not a de Polignac number, because 84880743649 - 2¹¹ = 84880741601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84880743449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276484354 + ... + 276484660.

It is an arithmetic number, because the mean of its divisors is an integer number (3462708859).

Almost surely, 2^84880743649 is an apocalyptic number.

84880743649 is the 291343-rd square number.

84880743649 is the 145672-nd centered octagonal number.

It is an amenable number.

84880743649 is a deficient number, since it is larger than the sum of its proper divisors (8612395544).

84880743649 is an frugal number, since it uses more digits than its factorization.

84880743649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 61.

The spelling of 84880743649 in words is "eighty-four billion, eight hundred eighty million, seven hundred forty-three thousand, six hundred forty-nine".