1643390042112 has 1080 divisors, whose sum is σ = 6176128925736. Its totient is φ = 433421549568.

The previous prime is 1643390042111. The next prime is 1643390042137. The reversal of 1643390042112 is 2112400933461.

1643390042112 is a `hidden beast` number, since 1 + 6 + 433 + 9 + 0 + 0 + 4 + 211 + 2 = 666.

It is a super-2 number, since 2×1643390042112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1643390042111) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126414618618 + ... + 126414618630.

Almost surely, 2^{1643390042112} is an apocalyptic number.

1643390042112 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 1643390042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088064462868).

1643390042112 is an abundant number, since it is smaller than the sum of its proper divisors (4532738883624).

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

1643390042112 is an frugal number, since it uses more digits than its factorization.

1643390042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 1643390042112 its reverse (2112400933461), we get a palindrome (3755790975573).

The spelling of 1643390042112 in words is "one trillion, six hundred forty-three billion, three hundred ninety million, forty-two thousand, one hundred twelve".