984714509952 has 256 divisors, whose sum is σ = 3073211366400. Its totient is φ = 309900902400.

The previous prime is 984714509939. The next prime is 984714510023. The reversal of 984714509952 is 259905417489.

984714509952 is a `hidden beast` number, since 9 + 8 + 4 + 71 + 4 + 509 + 9 + 52 = 666.

984714509952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×984714509952² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 984714509952.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4280488 + ... + 4504664.

It is an arithmetic number, because the mean of its divisors is an integer number (12004731900).

Almost surely, 2^984714509952 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 984714509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536605683200).

984714509952 is an abundant number, since it is smaller than the sum of its proper divisors (2088496856448).

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

984714509952 is a wasteful number, since it uses less digits than its factorization.

984714509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224272 (or 224254 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 984714509952 in words is "nine hundred eighty-four billion, seven hundred fourteen million, five hundred nine thousand, nine hundred fifty-two".