984315236352 has 1248 divisors, whose sum is σ = 3494974148352. Its totient is φ = 244158824448.

The previous prime is 984315236351. The next prime is 984315236363. The reversal of 984315236352 is 253632513489.

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 = 984315236295 and 984315236304.

It is not an unprimeable number, because it can be changed into a prime (984315236351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8710754248 + ... + 8710754360.

Almost surely, 2^984315236352 is an apocalyptic number.

984315236352 is a gapful number since it is divisible by the number (92) 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 984315236352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747487074176).

984315236352 is an abundant number, since it is smaller than the sum of its proper divisors (2510658912000).

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

984315236352 is a wasteful number, since it uses less digits than its factorization.

984315236352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 202 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 984315236352 in words is "nine hundred eighty-four billion, three hundred fifteen million, two hundred thirty-six thousand, three hundred fifty-two".