19690442144256 has 320 divisors, whose sum is σ = 59542750270080. Its totient is φ = 5732213391360.

The previous prime is 19690442144249. The next prime is 19690442144299. The reversal of 19690442144256 is 65244124409691.

It is a super-2 number, since 2×19690442144256² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 19690442144196 and 19690442144205.

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 31 ways as a sum of consecutive naturals, for example, 293236446 + ... + 293303586.

It is an arithmetic number, because the mean of its divisors is an integer number (186071094594).

Almost surely, 2^{19690442144256} is an apocalyptic number.

19690442144256 is a gapful number since it is divisible by the number (16) 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 19690442144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29771375135040).

19690442144256 is an abundant number, since it is smaller than the sum of its proper divisors (39852308125824).

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

19690442144256 is a wasteful number, since it uses less digits than its factorization.

19690442144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67967 (or 67951 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 19690442144256 in words is "nineteen trillion, six hundred ninety billion, four hundred forty-two million, one hundred forty-four thousand, two hundred fifty-six".