281939073285376 has 144 divisors (see below), whose sum is σ = 642074911542288. Its totient is φ = 122403225600000.

The previous prime is 281939073285361. The next prime is 281939073285403. The reversal of 281939073285376 is 673582370939182.

It can be written as a sum of positive squares in 8 ways, for example, as 39083502822400 + 242855570462976 = 6251680^2 + 15583824^2 .

It is a super-2 number, since 2×281939073285376² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 281939073285299 and 281939073285308.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 100509876 + ... + 103276876.

It is an arithmetic number, because the mean of its divisors is an integer number (4458853552377).

Almost surely, 2^{281939073285376} is an apocalyptic number.

281939073285376 is a gapful number since it is divisible by the number (26) 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 281939073285376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321037455771144).

281939073285376 is an abundant number, since it is smaller than the sum of its proper divisors (360135838256912).

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

281939073285376 is a wasteful number, since it uses less digits than its factorization.

281939073285376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768848 (or 2768834 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 73.

The spelling of 281939073285376 in words is "two hundred eighty-one trillion, nine hundred thirty-nine billion, seventy-three million, two hundred eighty-five thousand, three hundred seventy-six".