1828815963744 has 1536 divisors, whose sum is σ = 6989591347200. Its totient is φ = 403824476160.

The previous prime is 1828815963671. The next prime is 1828815963749. The reversal of 1828815963744 is 4473695188281.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1828815963749) 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, 4825371747 + ... + 4825372125.

It is an arithmetic number, because the mean of its divisors is an integer number (4550515200).

Almost surely, 2^{1828815963744} is an apocalyptic number.

1828815963744 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 1828815963744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494795673600).

1828815963744 is an abundant number, since it is smaller than the sum of its proper divisors (5160775383456).

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

1828815963744 is a wasteful number, since it uses less digits than its factorization.

1828815963744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 528 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 1828815963744 in words is "one trillion, eight hundred twenty-eight billion, eight hundred fifteen million, nine hundred sixty-three thousand, seven hundred forty-four".