1663339392000 has 2112 divisors, whose sum is σ = 7364766689280. Its totient is φ = 355221504000.

The previous prime is 1663339391981. The next prime is 1663339392007. The reversal of 1663339392000 is 2939333661.

1663339392000 is a `hidden beast` number, since 1 + 6 + 633 + 3 + 9 + 3 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 (1663339392007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3788927781 + ... + 3788928219.

It is an arithmetic number, because the mean of its divisors is an integer number (3487105440).

Almost surely, 2^{1663339392000} is an apocalyptic number.

1663339392000 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 1663339392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682383344640).

1663339392000 is an abundant number, since it is smaller than the sum of its proper divisors (5701427297280).

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

1663339392000 is a wasteful number, since it uses less digits than its factorization.

1663339392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 1663339392000 in words is "one trillion, six hundred sixty-three billion, three hundred thirty-nine million, three hundred ninety-two thousand".