1223669590416 has 405 divisors, whose sum is σ = 4317961986819. Its totient is φ = 322407461376.

The previous prime is 1223669590307. The next prime is 1223669590427. The reversal of 1223669590416 is 6140959663221.

The square root of 1223669590416 is 1106196.

It is a perfect power (a square), and thus also a powerful number.

1223669590416 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 6 + 6 + 9 + 590 + 41 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1002393430416 + 221276160000 = 1001196^2 + 470400^2 .

It is a super-3 number, since 3×1223669590416³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1207965526 + ... + 1207966538.

Almost surely, 2^{1223669590416} is an apocalyptic number.

1223669590416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1223669590416 is the 1106196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223669590416

1223669590416 is an abundant number, since it is smaller than the sum of its proper divisors (3094292396403).

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

1223669590416 is a wasteful number, since it uses less digits than its factorization.

1223669590416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1223669590416 in words is "one trillion, two hundred twenty-three billion, six hundred sixty-nine million, five hundred ninety thousand, four hundred sixteen".