783666842112 has 1920 divisors, whose sum is σ = 3210034544640. Its totient is φ = 183936614400.

The previous prime is 783666842089. The next prime is 783666842117. The reversal of 783666842112 is 211248666387.

It is a happy number.

It is a super-2 number, since 2×783666842112² (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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (783666842117) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 6170604993 + ... + 6170605119.

It is an arithmetic number, because the mean of its divisors is an integer number (1671892992).

Almost surely, 2^783666842112 is an apocalyptic number.

783666842112 is a gapful number since it is divisible by the number (72) 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 783666842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605017272320).

783666842112 is an abundant number, since it is smaller than the sum of its proper divisors (2426367702528).

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

783666842112 is a wasteful number, since it uses less digits than its factorization.

783666842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 783666842112 in words is "seven hundred eighty-three billion, six hundred sixty-six million, eight hundred forty-two thousand, one hundred twelve".