1742821318656 has 1344 divisors, whose sum is σ = 6182865561600. Its totient is φ = 484923801600.

The previous prime is 1742821318573. The next prime is 1742821318657. The reversal of 1742821318656 is 6568131282471.

It is a happy number.

1742821318656 is a `hidden beast` number, since 1 + 7 + 428 + 2 + 131 + 86 + 5 + 6 = 666.

It is a super-2 number, since 2×1742821318656² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742821318657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24546779101 + ... + 24546779171.

It is an arithmetic number, because the mean of its divisors is an integer number (4600346400).

Almost surely, 2^{1742821318656} is an apocalyptic number.

1742821318656 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 1742821318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091432780800).

1742821318656 is an abundant number, since it is smaller than the sum of its proper divisors (4440044242944).

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

1742821318656 is an equidigital number, since it uses as much as digits as its factorization.

1742821318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1742821318656 in words is "one trillion, seven hundred forty-two billion, eight hundred twenty-one million, three hundred eighteen thousand, six hundred fifty-six".