283661681352 has 256 divisors, whose sum is σ = 888750144000. Its totient is φ = 73563635712.

The previous prime is 283661681351. The next prime is 283661681453. The reversal of 283661681352 is 253186166382.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 283661681295 and 283661681304.

It is not an unprimeable number, because it can be changed into a prime (283661681351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106758808 + ... + 106761464.

It is an arithmetic number, because the mean of its divisors is an integer number (3471680250).

Almost surely, 2^283661681352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283661681352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444375072000).

283661681352 is an abundant number, since it is smaller than the sum of its proper divisors (605088462648).

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

283661681352 is a wasteful number, since it uses less digits than its factorization.

283661681352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 4004 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 283661681352 in words is "two hundred eighty-three billion, six hundred sixty-one million, six hundred eighty-one thousand, three hundred fifty-two".