1985084817408 has 960 divisors, whose sum is σ = 7458518427360. Its totient is φ = 515022520320.

The previous prime is 1985084817337. The next prime is 1985084817433. The reversal of 1985084817408 is 8047184805891.

1985084817408 is a `hidden beast` number, since 1 + 9 + 8 + 508 + 4 + 81 + 7 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2248113735 + ... + 2248114617.

Almost surely, 2^{1985084817408} is an apocalyptic number.

1985084817408 is a gapful number since it is divisible by the number (18) 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 1985084817408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729259213680).

1985084817408 is an abundant number, since it is smaller than the sum of its proper divisors (5473433609952).

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

1985084817408 is an frugal number, since it uses more digits than its factorization.

1985084817408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 1985084817408 in words is "one trillion, nine hundred eighty-five billion, eighty-four million, eight hundred seventeen thousand, four hundred eight".