561022863238656 has 3840 divisors, whose sum is σ = 2231419846656000. Its totient is φ = 134315532288000.

The previous prime is 561022863238609. The next prime is 561022863238693. The reversal of 561022863238656 is 656832368220165.

561022863238656 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 228 + 6 + 323 + 86 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 561022863238593 and 561022863238602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1827436036455 + ... + 1827436036761.

It is an arithmetic number, because the mean of its divisors is an integer number (581098918400).

Almost surely, 2^{561022863238656} is an apocalyptic number.

561022863238656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561022863238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115709923328000).

561022863238656 is an abundant number, since it is smaller than the sum of its proper divisors (1670396983417344).

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

561022863238656 is a wasteful number, since it uses less digits than its factorization.

561022863238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 561022863238656 in words is "five hundred sixty-one trillion, twenty-two billion, eight hundred sixty-three million, two hundred thirty-eight thousand, six hundred fifty-six".