220211324413344 has 384 divisors, whose sum is σ = 759141662146560. Its totient is φ = 61344776908800.

The previous prime is 220211324413337. The next prime is 220211324413397. The reversal of 220211324413344 is 443314423112022.

220211324413344 is a `hidden beast` number, since 2 + 2 + 0 + 211 + 3 + 24 + 413 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 220211324413299 and 220211324413308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8900992 + ... + 22795839.

It is an arithmetic number, because the mean of its divisors is an integer number (1976931411840).

Almost surely, 2^{220211324413344} is an apocalyptic number.

220211324413344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220211324413344 is an abundant number, since it is smaller than the sum of its proper divisors (538930337733216).

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

220211324413344 is a wasteful number, since it uses less digits than its factorization.

220211324413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31696921 (or 31696907 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 220211324413344 its reverse (443314423112022), we get a palindrome (663525747525366).

The spelling of 220211324413344 in words is "two hundred twenty trillion, two hundred eleven billion, three hundred twenty-four million, four hundred thirteen thousand, three hundred forty-four".