562241221705152 has 672 divisors, whose sum is σ = 1854403200000000. Its totient is φ = 161284077158400.

The previous prime is 562241221705147. The next prime is 562241221705153. The reversal of 562241221705152 is 251507122142265.

562241221705152 is a `hidden beast` number, since 5 + 6 + 2 + 2 + 4 + 122 + 1 + 7 + 0 + 515 + 2 = 666.

It is a super-2 number, since 2×562241221705152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 562241221705098 and 562241221705107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562241221705153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17992279224 + ... + 17992310472.

Almost surely, 2^{562241221705152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 562241221705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927201600000000).

562241221705152 is an abundant number, since it is smaller than the sum of its proper divisors (1292161978294848).

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

562241221705152 is a wasteful number, since it uses less digits than its factorization.

562241221705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33305 (or 33292 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 562241221705152 in words is "five hundred sixty-two trillion, two hundred forty-one billion, two hundred twenty-one million, seven hundred five thousand, one hundred fifty-two".