21456226125 has 48 divisors (see below), whose sum is σ = 39054153216. Its totient is φ = 11332159200.

The previous prime is 21456226097. The next prime is 21456226151. The reversal of 21456226125 is 52162265412.

21456226125 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 622 + 6 + 1 + 25 = 666.

It is not a de Polignac number, because 21456226125 - 2¹⁴ = 21456209741 is a prime.

It is a super-3 number, since 3×21456226125³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21456226125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23292 + ... + 208458.

It is an arithmetic number, because the mean of its divisors is an integer number (813628192).

Almost surely, 2^21456226125 is an apocalyptic number.

21456226125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21456226125 is a deficient number, since it is larger than the sum of its proper divisors (17597927091).

21456226125 is a wasteful number, since it uses less digits than its factorization.

21456226125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185291 (or 185278 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 21456226125 in words is "twenty-one billion, four hundred fifty-six million, two hundred twenty-six thousand, one hundred twenty-five".