982326120729408 has 3360 divisors, whose sum is σ = 3943742190305280. Its totient is φ = 235818086400000.

The previous prime is 982326120729391. The next prime is 982326120729631. The reversal of 982326120729408 is 804927021623289.

982326120729408 is a `hidden beast` number, since 9 + 8 + 2 + 3 + 2 + 612 + 0 + 7 + 2 + 9 + 4 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 545433714108 + ... + 545433715908.

Almost surely, 2^{982326120729408} 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 982326120729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971871095152640).

982326120729408 is an abundant number, since it is smaller than the sum of its proper divisors (2961416069575872).

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

982326120729408 is a wasteful number, since it uses less digits than its factorization.

982326120729408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 982326120729408 in words is "nine hundred eighty-two trillion, three hundred twenty-six billion, one hundred twenty million, seven hundred twenty-nine thousand, four hundred eight".