281649838919680 has 624 divisors, whose sum is σ = 880881664113216. Its totient is φ = 85414218301440.

The previous prime is 281649838919663. The next prime is 281649838919689. The reversal of 281649838919680 is 86919838946182.

It is a junction number, because it is equal to n+sod(n) for n = 281649838919594 and 281649838919603.

It is not an unprimeable number, because it can be changed into a prime (281649838919689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408087847 + ... + 408777433.

Almost surely, 2^{281649838919680} is an apocalyptic number.

281649838919680 is a gapful number since it is divisible by the number (20) 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 281649838919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440440832056608).

281649838919680 is an abundant number, since it is smaller than the sum of its proper divisors (599231825193536).

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

281649838919680 is a wasteful number, since it uses less digits than its factorization.

281649838919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689678 (or 689649 counting only the distinct ones).

The product of its (nonzero) digits is 2579890176, while the sum is 82.

The spelling of 281649838919680 in words is "two hundred eighty-one trillion, six hundred forty-nine billion, eight hundred thirty-eight million, nine hundred nineteen thousand, six hundred eighty".