21648747240125 has 36 divisors (see below), whose sum is σ = 27132447240444. Its totient is φ = 17245711840000.

The previous prime is 21648747240103. The next prime is 21648747240137. The reversal of 21648747240125 is 52104274784612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 19910175774724 + 1738571465401 = 4462082^2 + 1318549^2 .

It is not a de Polignac number, because 21648747240125 - 2¹⁰ = 21648747239101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14617654385 + ... + 14617655865.

Almost surely, 2^{21648747240125} is an apocalyptic number.

21648747240125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21648747240125 is a deficient number, since it is larger than the sum of its proper divisors (5483700000319).

21648747240125 is an frugal number, since it uses more digits than its factorization.

21648747240125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 53.

The spelling of 21648747240125 in words is "twenty-one trillion, six hundred forty-eight billion, seven hundred forty-seven million, two hundred forty thousand, one hundred twenty-five".