1016904354984 has 384 divisors, whose sum is σ = 3314830970880. Its totient is φ = 275592844800.

The previous prime is 1016904354967. The next prime is 1016904355069. The reversal of 1016904354984 is 4894534096101.

1016904354984 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 90 + 4 + 3 + 549 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1016904354984.

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 95 ways as a sum of consecutive naturals, for example, 133430694 + ... + 133438314.

It is an arithmetic number, because the mean of its divisors is an integer number (8632372320).

Almost surely, 2^{1016904354984} is an apocalyptic number.

1016904354984 is a gapful number since it is divisible by the number (14) 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 1016904354984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657415485440).

1016904354984 is an abundant number, since it is smaller than the sum of its proper divisors (2297926615896).

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

1016904354984 is a wasteful number, since it uses less digits than its factorization.

1016904354984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7854 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1016904354984 in words is "one trillion, sixteen billion, nine hundred four million, three hundred fifty-four thousand, nine hundred eighty-four".