1826853469728 has 288 divisors, whose sum is σ = 5956955343360. Its totient is φ = 487701688320.

The previous prime is 1826853469709. The next prime is 1826853469747. The reversal of 1826853469728 is 8279643586281.

It is an interprime number because it is at equal distance from previous prime (1826853469709) and next prime (1826853469747).

It is a super-2 number, since 2×1826853469728² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4012900 + ... + 4444892.

It is an arithmetic number, because the mean of its divisors is an integer number (20683872720).

Almost surely, 2^{1826853469728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1826853469728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978477671680).

1826853469728 is an abundant number, since it is smaller than the sum of its proper divisors (4130101873632).

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

1826853469728 is a wasteful number, since it uses less digits than its factorization.

1826853469728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432080 (or 432065 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 1826853469728 in words is "one trillion, eight hundred twenty-six billion, eight hundred fifty-three million, four hundred sixty-nine thousand, seven hundred twenty-eight".