1986333414912 has 480 divisors, whose sum is σ = 7412002101504. Its totient is φ = 515928268800.

The previous prime is 1986333414899. The next prime is 1986333414943. The reversal of 1986333414912 is 2194143336891.

1986333414912 is a `hidden beast` number, since 1 + 9 + 86 + 3 + 33 + 41 + 491 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9476362 + ... + 9683702.

Almost surely, 2^{1986333414912} is an apocalyptic number.

1986333414912 is a gapful number since it is divisible by the number (12) 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 1986333414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706001050752).

1986333414912 is an abundant number, since it is smaller than the sum of its proper divisors (5425668686592).

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

1986333414912 is an equidigital number, since it uses as much as digits as its factorization.

1986333414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207392 (or 207364 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 1986333414912 in words is "one trillion, nine hundred eighty-six billion, three hundred thirty-three million, four hundred fourteen thousand, nine hundred twelve".