1985816231424 has 320 divisors, whose sum is σ = 5950226304000. Its totient is φ = 653860823040.

The previous prime is 1985816231423. The next prime is 1985816231461. The reversal of 1985816231424 is 4241326185891.

1985816231424 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 8 + 1 + 623 + 1 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1985816231424² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985816231423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 540945109 + ... + 540948779.

It is an arithmetic number, because the mean of its divisors is an integer number (18594457200).

Almost surely, 2^{1985816231424} 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 1985816231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975113152000).

1985816231424 is an abundant number, since it is smaller than the sum of its proper divisors (3964410072576).

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

1985816231424 is a wasteful number, since it uses less digits than its factorization.

1985816231424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4144 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 1985816231424 in words is "one trillion, nine hundred eighty-five billion, eight hundred sixteen million, two hundred thirty-one thousand, four hundred twenty-four".