1000608504984 has 192 divisors, whose sum is σ = 3085819925760. Its totient is φ = 289943089920.

The previous prime is 1000608504953. The next prime is 1000608505021. The reversal of 1000608504984 is 4894058060001.

1000608504984 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 60 + 8 + 504 + 9 + 84 = 666.

1000608504984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1000608504984³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81656202 + ... + 81668454.

It is an arithmetic number, because the mean of its divisors is an integer number (16071978780).

Almost surely, 2^{1000608504984} 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 1000608504984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542909962880).

1000608504984 is an abundant number, since it is smaller than the sum of its proper divisors (2085211420776).

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

1000608504984 is a wasteful number, since it uses less digits than its factorization.

1000608504984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16782 (or 16775 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 1000608504984 in words is "one trillion, six hundred eight million, five hundred four thousand, nine hundred eighty-four".