221431416034760 has 32 divisors (see below), whose sum is σ = 498270315499200. Its totient is φ = 88563743405760.

The previous prime is 221431416034739. The next prime is 221431416034769. The reversal of 221431416034760 is 67430614134122.

It is not an unprimeable number, because it can be changed into a prime (221431416034769) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 275312426 + ... + 276115545.

It is an arithmetic number, because the mean of its divisors is an integer number (15570947359350).

Almost surely, 2^{221431416034760} is an apocalyptic number.

221431416034760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221431416034760 is an abundant number, since it is smaller than the sum of its proper divisors (276838899464440).

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

221431416034760 is a wasteful number, since it uses less digits than its factorization.

221431416034760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551438021 (or 551438017 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 221431416034760 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred sixteen million, thirty-four thousand, seven hundred sixty".