1663145134560 has 864 divisors, whose sum is σ = 7210367865792. Its totient is φ = 345949470720.

The previous prime is 1663145134517. The next prime is 1663145134577. The reversal of 1663145134560 is 654315413661.

1663145134560 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 1 + 4 + 51 + 34 + 560 = 666.

It is a super-2 number, since 2×1663145134560² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 65114112 + ... + 65139648.

It is an arithmetic number, because the mean of its divisors is an integer number (8345333178).

Almost surely, 2^{1663145134560} is an apocalyptic number.

1663145134560 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 1663145134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605183932896).

1663145134560 is an abundant number, since it is smaller than the sum of its proper divisors (5547222731232).

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

1663145134560 is a wasteful number, since it uses less digits than its factorization.

1663145134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25656 (or 25638 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1663145134560 in words is "one trillion, six hundred sixty-three billion, one hundred forty-five million, one hundred thirty-four thousand, five hundred sixty".