1830955384384 has 189 divisors, whose sum is σ = 4298169852081. Its totient is φ = 771607710720.

The previous prime is 1830955384381. The next prime is 1830955384403. The reversal of 1830955384384 is 4834835590381.

It is a happy number.

The square root of 1830955384384 is 1353128.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1039339470400 + 791615913984 = 1019480^2 + 889728^2 .

It is a super-2 number, since 2×1830955384384² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1830955384381) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5531587099 + ... + 5531587429.

It is an arithmetic number, because the mean of its divisors is an integer number (22741639429).

Almost surely, 2^{1830955384384} is an apocalyptic number.

1830955384384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1830955384384 is the 1353128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830955384384

1830955384384 is an abundant number, since it is smaller than the sum of its proper divisors (2467214467697).

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

1830955384384 is an frugal number, since it uses more digits than its factorization.

1830955384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 61.

The spelling of 1830955384384 in words is "one trillion, eight hundred thirty billion, nine hundred fifty-five million, three hundred eighty-four thousand, three hundred eighty-four".