1823726433312 has 960 divisors, whose sum is σ = 6398694973440. Its totient is φ = 498886262784.

The previous prime is 1823726433293. The next prime is 1823726433427. The reversal of 1823726433312 is 2133346273281.

1823726433312 is a `hidden beast` number, since 18 + 2 + 37 + 264 + 33 + 312 = 666.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 13311871708 + ... + 13311871844.

It is an arithmetic number, because the mean of its divisors is an integer number (6665307264).

Almost surely, 2^{1823726433312} is an apocalyptic number.

1823726433312 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 1823726433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199347486720).

1823726433312 is an abundant number, since it is smaller than the sum of its proper divisors (4574968540128).

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

1823726433312 is a wasteful number, since it uses less digits than its factorization.

1823726433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 1823726433312 in words is "one trillion, eight hundred twenty-three billion, seven hundred twenty-six million, four hundred thirty-three thousand, three hundred twelve".