221316764880 has 160 divisors (see below), whose sum is σ = 711258762240. Its totient is φ = 56868433920.

The previous prime is 221316764869. The next prime is 221316764891. The reversal of 221316764880 is 88467613122.

It is an interprime number because it is at equal distance from previous prime (221316764869) and next prime (221316764891).

It is a super-2 number, since 2×221316764880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1669686 + ... + 1797354.

It is an arithmetic number, because the mean of its divisors is an integer number (4445367264).

Almost surely, 2^221316764880 is an apocalyptic number.

221316764880 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 221316764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355629381120).

221316764880 is an abundant number, since it is smaller than the sum of its proper divisors (489941997360).

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

221316764880 is a wasteful number, since it uses less digits than its factorization.

221316764880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127949 (or 127943 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 221316764880 in words is "two hundred twenty-one billion, three hundred sixteen million, seven hundred sixty-four thousand, eight hundred eighty".