65623398083929 has 45 divisors (see below), whose sum is σ = 79120125528639. Its totient is φ = 54423948050640.

The previous prime is 65623398083923. The next prime is 65623398083959. The reversal of 65623398083929 is 92938089332656.

The square root of 65623398083929 is 8100827.

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., 65426663255625 + 196734828304 = 8088675^2 + 443548^2 .

It is not a de Polignac number, because 65623398083929 - 2¹⁹ = 65623397559641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65623398083923) 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, 12305153547 + ... + 12305158879.

Almost surely, 2^{65623398083929} is an apocalyptic number.

65623398083929 is the 8100827-th square number.

65623398083929 is the 4050414-th centered octagonal number.

It is an amenable number.

65623398083929 is a deficient number, since it is larger than the sum of its proper divisors (13496727444710).

65623398083929 is an frugal number, since it uses more digits than its factorization.

65623398083929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10756 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 906992640, while the sum is 73.

The spelling of 65623398083929 in words is "sixty-five trillion, six hundred twenty-three billion, three hundred ninety-eight million, eighty-three thousand, nine hundred twenty-nine".