983262415130112 has 640 divisors, whose sum is σ = 3017117012152320. Its totient is φ = 282242580480000.

The previous prime is 983262415130111. The next prime is 983262415130173. The reversal of 983262415130112 is 211031514262389.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983262415130111) 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, 11506696987 + ... + 11506782437.

It is an arithmetic number, because the mean of its divisors is an integer number (4714245331488).

Almost surely, 2^{983262415130112} 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 983262415130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508558506076160).

983262415130112 is an abundant number, since it is smaller than the sum of its proper divisors (2033854597022208).

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

983262415130112 is a wasteful number, since it uses less digits than its factorization.

983262415130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86186 (or 86170 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 983262415130112 in words is "nine hundred eighty-three trillion, two hundred sixty-two billion, four hundred fifteen million, one hundred thirty thousand, one hundred twelve".