422156525416704 has 729 divisors, whose sum is σ = 1391836169352447. Its totient is φ = 122986764066816.

The previous prime is 422156525416631. The next prime is 422156525416709. The reversal of 422156525416704 is 407614525651224.

The square root of 422156525416704 is 20546448.

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

422156525416704 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 5 + 6 + 525 + 41 + 6 + 70 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78727431631104 + 343429093785600 = 8872848^2 + 18531840^2 .

It is a super-2 number, since 2×422156525416704² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422156525416709) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 243598686622 + ... + 243598688354.

Almost surely, 2^{422156525416704} is an apocalyptic number.

422156525416704 is the 20546448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422156525416704

422156525416704 is an abundant number, since it is smaller than the sum of its proper divisors (969679643935743).

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

422156525416704 is an equidigital number, since it uses as much as digits as its factorization.

422156525416704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 422156525416704 in words is "four hundred twenty-two trillion, one hundred fifty-six billion, five hundred twenty-five million, four hundred sixteen thousand, seven hundred four".