221414008663125 has 40 divisors (see below), whose sum is σ = 409894733698560. Its totient is φ = 118087471278000.

The previous prime is 221414008663109. The next prime is 221414008663213. The reversal of 221414008663125 is 521366800414122.

221414008663125 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 1 + 4 + 0 + 0 + 8 + 6 + 631 + 2 + 5 = 666.

It is not a de Polignac number, because 221414008663125 - 2⁴ = 221414008663109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6560398197 + ... + 6560431946.

It is an arithmetic number, because the mean of its divisors is an integer number (10247368342464).

Almost surely, 2^{221414008663125} is an apocalyptic number.

221414008663125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

221414008663125 is a deficient number, since it is larger than the sum of its proper divisors (188480725035435).

221414008663125 is an equidigital number, since it uses as much as digits as its factorization.

221414008663125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120830172 (or 13120830151 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 221414008663125 in words is "two hundred twenty-one trillion, four hundred fourteen billion, eight million, six hundred sixty-three thousand, one hundred twenty-five".