221947412960 has 576 divisors, whose sum is σ = 695364227712. Its totient is φ = 66217181184.

The previous prime is 221947412957. The next prime is 221947412963. The reversal of 221947412960 is 69214749122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221947412957) and next prime (221947412963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221947412963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171123032 + ... + 171124328.

It is an arithmetic number, because the mean of its divisors is an integer number (1207229562).

Almost surely, 2^221947412960 is an apocalyptic number.

221947412960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221947412960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347682113856).

221947412960 is an abundant number, since it is smaller than the sum of its proper divisors (473416814752).

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

221947412960 is a wasteful number, since it uses less digits than its factorization.

221947412960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 221947412960 in words is "two hundred twenty-one billion, nine hundred forty-seven million, four hundred twelve thousand, nine hundred sixty".