1721432249856 has 480 divisors, whose sum is σ = 5615250600960. Its totient is φ = 502961356800.

The previous prime is 1721432249749. The next prime is 1721432249879. The reversal of 1721432249856 is 6589422341271.

It is a happy number.

1721432249856 is a `hidden beast` number, since 1 + 7 + 2 + 143 + 2 + 2 + 498 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 460397235 + ... + 460400973.

It is an arithmetic number, because the mean of its divisors is an integer number (11698438752).

Almost surely, 2^{1721432249856} is an apocalyptic number.

1721432249856 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 1721432249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807625300480).

1721432249856 is an abundant number, since it is smaller than the sum of its proper divisors (3893818351104).

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

1721432249856 is a wasteful number, since it uses less digits than its factorization.

1721432249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4079 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 1721432249856 in words is "one trillion, seven hundred twenty-one billion, four hundred thirty-two million, two hundred forty-nine thousand, eight hundred fifty-six".