20178405393444 has 243 divisors, whose sum is σ = 54661680528273. Its totient is φ = 6275772385344.

The previous prime is 20178405393439. The next prime is 20178405393473. The reversal of 20178405393444 is 44439350487102.

The square root of 20178405393444 is 4492038.

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

20178405393444 is a `hidden beast` number, since 2 + 0 + 1 + 78 + 4 + 0 + 539 + 34 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12466054332900 + 7712351060544 = 3530730^2 + 2777112^2 .

It is a super-2 number, since 2×20178405393444² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26655753114 + ... + 26655753870.

Almost surely, 2^{20178405393444} is an apocalyptic number.

20178405393444 is the 4492038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20178405393444

20178405393444 is an abundant number, since it is smaller than the sum of its proper divisors (34483275134829).

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

20178405393444 is an equidigital number, since it uses as much as digits as its factorization.

20178405393444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20178405393444 in words is "twenty trillion, one hundred seventy-eight billion, four hundred five million, three hundred ninety-three thousand, four hundred forty-four".