1832738622816 has 384 divisors, whose sum is σ = 5119424335872. Its totient is φ = 573308928000.

The previous prime is 1832738622809. The next prime is 1832738622817. The reversal of 1832738622816 is 6182268372381.

It is a super-2 number, since 2×1832738622816² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832738622817) 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, 7131278560 + ... + 7131278816.

It is an arithmetic number, because the mean of its divisors is an integer number (13331834208).

Almost surely, 2^{1832738622816} is an apocalyptic number.

1832738622816 is a gapful number since it is divisible by the number (16) 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 1832738622816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559712167936).

1832738622816 is an abundant number, since it is smaller than the sum of its proper divisors (3286685713056).

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

1832738622816 is a wasteful number, since it uses less digits than its factorization.

1832738622816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The spelling of 1832738622816 in words is "one trillion, eight hundred thirty-two billion, seven hundred thirty-eight million, six hundred twenty-two thousand, eight hundred sixteen".