84824815009 has 45 divisors (see below), whose sum is σ = 97813443715. Its totient is φ = 73557342320.

The previous prime is 84824814967. The next prime is 84824815021. The reversal of 84824815009 is 90051842848.

The square root of 84824815009 is 291247.

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., 44480075409 + 40344739600 = 210903^2 + 200860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84824815009 is a prime.

It is a super-2 number, since 2×84824815009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84824815039) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1021985682 + ... + 1021985764.

Almost surely, 2^84824815009 is an apocalyptic number.

84824815009 is the 291247-th square number.

84824815009 is the 145624-th centered octagonal number.

It is an amenable number.

84824815009 is a deficient number, since it is larger than the sum of its proper divisors (12988628706).

84824815009 is an frugal number, since it uses more digits than its factorization.

84824815009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 84824815009 by its sum of digits (49), we get a square (4156415935441 = 2038729²).

The spelling of 84824815009 in words is "eighty-four billion, eight hundred twenty-four million, eight hundred fifteen thousand, nine".