221312144342432 has 48 divisors (see below), whose sum is σ = 511881061138272. Its totient is φ = 92858242379520.

The previous prime is 221312144342413. The next prime is 221312144342573. The reversal of 221312144342432 is 234243441213122.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24181829378 + ... + 24181838529.

It is an arithmetic number, because the mean of its divisors is an integer number (10664188773714).

Almost surely, 2^{221312144342432} is an apocalyptic number.

221312144342432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221312144342432 is an abundant number, since it is smaller than the sum of its proper divisors (290568916795840).

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

221312144342432 is a wasteful number, since it uses less digits than its factorization.

221312144342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48363667941 (or 48363667933 counting only the distinct ones).

The product of its digits is 221184, while the sum is 38.

Adding to 221312144342432 its reverse (234243441213122), we get a palindrome (455555585555554).

The spelling of 221312144342432 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred forty-four million, three hundred forty-two thousand, four hundred thirty-two".