1829873247804 has 768 divisors, whose sum is σ = 6141542400000. Its totient is φ = 468750965760.

The previous prime is 1829873247803. The next prime is 1829873247817. The reversal of 1829873247804 is 4087423789281.

1829873247804 is a `hidden beast` number, since 1 + 8 + 2 + 98 + 73 + 2 + 478 + 0 + 4 = 666.

It is a super-2 number, since 2×1829873247804² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829873247803) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1307985897 + ... + 1307987295.

It is an arithmetic number, because the mean of its divisors is an integer number (7996800000).

Almost surely, 2^{1829873247804} is an apocalyptic number.

1829873247804 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 1829873247804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070771200000).

1829873247804 is an abundant number, since it is smaller than the sum of its proper divisors (4311669152196).

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

1829873247804 is a wasteful number, since it uses less digits than its factorization.

1829873247804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 1829873247804 in words is "one trillion, eight hundred twenty-nine billion, eight hundred seventy-three million, two hundred forty-seven thousand, eight hundred four".