1820368197648 has 720 divisors, whose sum is σ = 7150800069504. Its totient is φ = 417458257920.

The previous prime is 1820368197631. The next prime is 1820368197673. The reversal of 1820368197648 is 8467918630281.

1820368197648 is a `hidden beast` number, since 1 + 8 + 20 + 368 + 197 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76240240 + ... + 76264112.

Almost surely, 2^{1820368197648} is an apocalyptic number.

1820368197648 is a gapful number since it is divisible by the number (18) 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 1820368197648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575400034752).

1820368197648 is an abundant number, since it is smaller than the sum of its proper divisors (5330431871856).

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

1820368197648 is a wasteful number, since it uses less digits than its factorization.

1820368197648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23964 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1820368197648 in words is "one trillion, eight hundred twenty billion, three hundred sixty-eight million, one hundred ninety-seven thousand, six hundred forty-eight".