221377502316820 has 48 divisors (see below), whose sum is σ = 476260534422288. Its totient is φ = 86385972003840.

The previous prime is 221377502316787. The next prime is 221377502316853. The reversal of 221377502316820 is 28613205773122.

It is an interprime number because it is at equal distance from previous prime (221377502316787) and next prime (221377502316853).

It can be written as a sum of positive squares in 8 ways, for example, as 91658067687684 + 129719434629136 = 9573822^2 + 11389444^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5318734 + ... + 21703546.

It is an arithmetic number, because the mean of its divisors is an integer number (9922094467131).

Almost surely, 2^{221377502316820} is an apocalyptic number.

221377502316820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221377502316820 is an abundant number, since it is smaller than the sum of its proper divisors (254883032105468).

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

221377502316820 is a wasteful number, since it uses less digits than its factorization.

221377502316820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16401340 (or 16401338 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The spelling of 221377502316820 in words is "two hundred twenty-one trillion, three hundred seventy-seven billion, five hundred two million, three hundred sixteen thousand, eight hundred twenty".