1821100755456 has 240 divisors, whose sum is σ = 5463287077248. Its totient is φ = 605607321600.

The previous prime is 1821100755451. The next prime is 1821100755493. The reversal of 1821100755456 is 6545570011281.

1821100755456 is a `hidden beast` number, since 1 + 8 + 21 + 10 + 0 + 75 + 545 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1821100755451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53606316 + ... + 53640276.

Almost surely, 2^{1821100755456} is an apocalyptic number.

1821100755456 is a gapful number since it is divisible by the number (16) 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 1821100755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731643538624).

1821100755456 is an abundant number, since it is smaller than the sum of its proper divisors (3642186321792).

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

1821100755456 is an frugal number, since it uses more digits than its factorization.

1821100755456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34425 (or 34397 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1821100755456 in words is "one trillion, eight hundred twenty-one billion, one hundred million, seven hundred fifty-five thousand, four hundred fifty-six".