1648220918400 has 960 divisors, whose sum is σ = 7093441080000. Its totient is φ = 376715888640.

The previous prime is 1648220918369. The next prime is 1648220918401. The reversal of 1648220918400 is 48190228461.

1648220918400 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 220 + 9 + 18 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1648220918401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88896331 + ... + 88914869.

It is an arithmetic number, because the mean of its divisors is an integer number (7389001125).

Almost surely, 2^{1648220918400} is an apocalyptic number.

1648220918400 is a gapful number since it is divisible by the number (10) 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 1648220918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546720540000).

1648220918400 is an abundant number, since it is smaller than the sum of its proper divisors (5445220161600).

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

1648220918400 is an equidigital number, since it uses as much as digits as its factorization.

1648220918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18596 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 1648220918400 in words is "one trillion, six hundred forty-eight billion, two hundred twenty million, nine hundred eighteen thousand, four hundred".