1830919427361 has 16 divisors (see below), whose sum is σ = 2712541104000. Its totient is φ = 1220582406384.

The previous prime is 1830919427321. The next prime is 1830919427419. The reversal of 1830919427361 is 1637249190381.

1830919427361 is a `hidden beast` number, since 1 + 8 + 309 + 1 + 9 + 4 + 273 + 61 = 666.

It is not a de Polignac number, because 1830919427361 - 2¹³ = 1830919419169 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1830919427298 and 1830919427307.

It is not an unprimeable number, because it can be changed into a prime (1830919427321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277620 + ... + 1933626.

It is an arithmetic number, because the mean of its divisors is an integer number (169533819000).

Almost surely, 2^{1830919427361} is an apocalyptic number.

It is an amenable number.

1830919427361 is a deficient number, since it is larger than the sum of its proper divisors (881621676639).

1830919427361 is a wasteful number, since it uses less digits than its factorization.

1830919427361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696965 (or 1696959 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1830919427361 in words is "one trillion, eight hundred thirty billion, nine hundred nineteen million, four hundred twenty-seven thousand, three hundred sixty-one".