1832113362744 has 512 divisors, whose sum is σ = 6143363481600. Its totient is φ = 494604887040.

The previous prime is 1832113362701. The next prime is 1832113362749. The reversal of 1832113362744 is 4472633112381.

It is a happy number.

1832113362744 is a `hidden beast` number, since 1 + 8 + 3 + 2 + 1 + 13 + 3 + 627 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1832113362744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832113362749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2407507324 + ... + 2407508084.

It is an arithmetic number, because the mean of its divisors is an integer number (11998756800).

Almost surely, 2^{1832113362744} is an apocalyptic number.

1832113362744 is a gapful number since it is divisible by the number (14) 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 1832113362744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071681740800).

1832113362744 is an abundant number, since it is smaller than the sum of its proper divisors (4311250118856).

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

1832113362744 is a wasteful number, since it uses less digits than its factorization.

1832113362744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 1832113362744 in words is "one trillion, eight hundred thirty-two billion, one hundred thirteen million, three hundred sixty-two thousand, seven hundred forty-four".