983280658752 has 448 divisors, whose sum is σ = 3422323660800. Its totient is φ = 274392147456.

The previous prime is 983280658739. The next prime is 983280658757. The reversal of 983280658752 is 257856082389.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 983280658752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983280658757) 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, 42118699 + ... + 42142037.

Almost surely, 2^983280658752 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 983280658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711161830400).

983280658752 is an abundant number, since it is smaller than the sum of its proper divisors (2439043002048).

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

983280658752 is an equidigital number, since it uses as much as digits as its factorization.

983280658752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23422 (or 23394 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 983280658752 in words is "nine hundred eighty-three billion, two hundred eighty million, six hundred fifty-eight thousand, seven hundred fifty-two".