221343974231688 has 192 divisors, whose sum is σ = 780247775995200. Its totient is φ = 57491941328640.

The previous prime is 221343974231671. The next prime is 221343974231689. The reversal of 221343974231688 is 886132479343122.

It is a happy number.

221343974231688 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 397 + 4 + 231 + 6 + 8 + 8 = 666.

It is a super-2 number, since 2×221343974231688² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221343974231689) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 950477845 + ... + 950710692.

It is an arithmetic number, because the mean of its divisors is an integer number (4063790499975).

Almost surely, 2^{221343974231688} is an apocalyptic number.

221343974231688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

221343974231688 is an abundant number, since it is smaller than the sum of its proper divisors (558903801763512).

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

221343974231688 is a wasteful number, since it uses less digits than its factorization.

221343974231688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901188577 (or 1901188560 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 221343974231688 in words is "two hundred twenty-one trillion, three hundred forty-three billion, nine hundred seventy-four million, two hundred thirty-one thousand, six hundred eighty-eight".