221434013988 has 72 divisors (see below), whose sum is σ = 616549542336. Its totient is φ = 66449736000.

The previous prime is 221434013971. The next prime is 221434013989. The reversal of 221434013988 is 889310434122.

221434013988 is a `hidden beast` number, since 2 + 2 + 1 + 434 + 0 + 139 + 88 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (221434013989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2673663 + ... + 2755238.

It is an arithmetic number, because the mean of its divisors is an integer number (8563188088).

Almost surely, 2^221434013988 is an apocalyptic number.

It is an amenable number.

221434013988 is an abundant number, since it is smaller than the sum of its proper divisors (395115528348).

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

221434013988 is a wasteful number, since it uses less digits than its factorization.

221434013988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429025 (or 5429020 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 221434013988 in words is "two hundred twenty-one billion, four hundred thirty-four million, thirteen thousand, nine hundred eighty-eight".