19444526856072 has 240 divisors, whose sum is σ = 57968766454500. Its totient is φ = 6088229111808.

The previous prime is 19444526856071. The next prime is 19444526856103. The reversal of 19444526856072 is 27065862544491.

19444526856072 is a `hidden beast` number, since 1 + 9 + 4 + 4 + 4 + 5 + 2 + 68 + 560 + 7 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 12513807200196 + 6930719655876 = 3537486^2 + 2632626^2 .

It is not an unprimeable number, because it can be changed into a prime (19444526856071) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95219454 + ... + 95423442.

Almost surely, 2^{19444526856072} is an apocalyptic number.

19444526856072 is a gapful number since it is divisible by the number (12) 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 19444526856072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984383227250).

19444526856072 is an abundant number, since it is smaller than the sum of its proper divisors (38524239598428).

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

19444526856072 is a wasteful number, since it uses less digits than its factorization.

19444526856072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204550 (or 204520 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 19444526856072 in words is "nineteen trillion, four hundred forty-four billion, five hundred twenty-six million, eight hundred fifty-six thousand, seventy-two".