84988541279929 has 9 divisors (see below), whose sum is σ = 98864296557327. Its totient is φ = 72847265783544.

The previous prime is 84988541279927. The next prime is 84988541279947. The reversal of 84988541279929 is 92997214588948.

The square root of 84988541279929 is 9218923.

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

It can be written as a sum of positive squares in only one way, i.e., 6520479711529 + 78468061568400 = 2553523^2 + 8858220^2 .

It is not a de Polignac number, because 84988541279929 - 2¹ = 84988541279927 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84988541279927) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63873967 + ... + 65190955.

It is an arithmetic number, because the mean of its divisors is an integer number (10984921839703).

Almost surely, 2^{84988541279929} is an apocalyptic number.

84988541279929 is the 9218923-rd square number.

84988541279929 is the 4609462-nd centered octagonal number.

It is an amenable number.

84988541279929 is a deficient number, since it is larger than the sum of its proper divisors (13875755277398).

84988541279929 is an frugal number, since it uses more digits than its factorization.

84988541279929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633992 (or 1316996 counting only the distinct ones).

The product of its digits is 7524679680, while the sum is 85.

The spelling of 84988541279929 in words is "eighty-four trillion, nine hundred eighty-eight billion, five hundred forty-one million, two hundred seventy-nine thousand, nine hundred twenty-nine".