1832494212864 has 1296 divisors, whose sum is σ = 6737927938560. Its totient is φ = 485968896000.

The previous prime is 1832494212863. The next prime is 1832494212877. The reversal of 1832494212864 is 4682124942381.

1832494212864 is a `hidden beast` number, since 1 + 83 + 2 + 494 + 2 + 12 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×1832494212864³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 1832494212864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832494212863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12135723189 + ... + 12135723339.

Almost surely, 2^{1832494212864} is an apocalyptic number.

1832494212864 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 1832494212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368963969280).

1832494212864 is an abundant number, since it is smaller than the sum of its proper divisors (4905433725696).

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

1832494212864 is an equidigital number, since it uses as much as digits as its factorization.

1832494212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 223 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 1832494212864 in words is "one trillion, eight hundred thirty-two billion, four hundred ninety-four million, two hundred twelve thousand, eight hundred sixty-four".