1663114328064 has 864 divisors, whose sum is σ = 6228763304400. Its totient is φ = 423611596800.

The previous prime is 1663114328009. The next prime is 1663114328101. The reversal of 1663114328064 is 4608234113661.

1663114328064 is a `hidden beast` number, since 1 + 6 + 6 + 311 + 4 + 328 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 291720414 + ... + 291726114.

Almost surely, 2^{1663114328064} is an apocalyptic number.

1663114328064 is a gapful number since it is divisible by the number (14) 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 1663114328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114381652200).

1663114328064 is an abundant number, since it is smaller than the sum of its proper divisors (4565648976336).

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

1663114328064 is a wasteful number, since it uses less digits than its factorization.

1663114328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1663114328064 in words is "one trillion, six hundred sixty-three billion, one hundred fourteen million, three hundred twenty-eight thousand, sixty-four".