1663111548 has 144 divisors (see below), whose sum is σ = 5056128000. Its totient is φ = 471350880.

The previous prime is 1663111537. The next prime is 1663111561. The reversal of 1663111548 is 8451113661.

It is a happy number.

1663111548 is a `hidden beast` number, since 1 + 6 + 631 + 1 + 15 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692053 + ... + 694451.

It is an arithmetic number, because the mean of its divisors is an integer number (35112000).

Almost surely, 2^1663111548 is an apocalyptic number.

1663111548 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 1663111548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064000).

1663111548 is an abundant number, since it is smaller than the sum of its proper divisors (3393016452).

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

1663111548 is a wasteful number, since it uses less digits than its factorization.

1663111548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2542 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1663111548 is about 40781.2646689629. The cubic root of 1663111548 is about 1184.7874895318.

The spelling of 1663111548 in words is "one billion, six hundred sixty-three million, one hundred eleven thousand, five hundred forty-eight".