221414207761460 has 48 divisors (see below), whose sum is σ = 531934682985216. Its totient is φ = 75836216324352.

The previous prime is 221414207761421. The next prime is 221414207761501. The reversal of 221414207761460 is 64167702414122.

It is a super-2 number, since 2×221414207761460² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 804302897 + ... + 804578136.

It is an arithmetic number, because the mean of its divisors is an integer number (11081972562192).

Almost surely, 2^{221414207761460} is an apocalyptic number.

221414207761460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221414207761460 is an abundant number, since it is smaller than the sum of its proper divisors (310520475223756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221414207761460 is a wasteful number, since it uses less digits than its factorization.

221414207761460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608882032 (or 1608882030 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 221414207761460 in words is "two hundred twenty-one trillion, four hundred fourteen billion, two hundred seven million, seven hundred sixty-one thousand, four hundred sixty".