1832817421344 has 384 divisors, whose sum is σ = 6323223674880. Its totient is φ = 451654963200.

The previous prime is 1832817421327. The next prime is 1832817421349. The reversal of 1832817421344 is 4431247182381.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 1832817421293 and 1832817421302.

It is not an unprimeable number, because it can be changed into a prime (1832817421349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7736979 + ... + 7970349.

It is an arithmetic number, because the mean of its divisors is an integer number (16466728320).

Almost surely, 2^{1832817421344} is an apocalyptic number.

1832817421344 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 1832817421344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3161611837440).

1832817421344 is an abundant number, since it is smaller than the sum of its proper divisors (4490406253536).

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

1832817421344 is a wasteful number, since it uses less digits than its factorization.

1832817421344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233464 (or 233456 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The spelling of 1832817421344 in words is "one trillion, eight hundred thirty-two billion, eight hundred seventeen million, four hundred twenty-one thousand, three hundred forty-four".