984138034464 has 384 divisors, whose sum is σ = 3260075212800. Its totient is φ = 286329738240.

The previous prime is 984138034457. The next prime is 984138034493. The reversal of 984138034464 is 464430831489.

984138034464 is a `hidden beast` number, since 98 + 4 + 13 + 80 + 3 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 984138034464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120144609 + ... + 120152799.

It is an arithmetic number, because the mean of its divisors is an integer number (8489779200).

Almost surely, 2^984138034464 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 984138034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630037606400).

984138034464 is an abundant number, since it is smaller than the sum of its proper divisors (2275937178336).

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

984138034464 is a wasteful number, since it uses less digits than its factorization.

984138034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 984138034464 in words is "nine hundred eighty-four billion, one hundred thirty-eight million, thirty-four thousand, four hundred sixty-four".