663661152 has 144 divisors (see below), whose sum is σ = 2353059072. Its totient is φ = 172373760.

The previous prime is 663661139. The next prime is 663661169. The reversal of 663661152 is 251166366.

663661152 is a `hidden beast` number, since 6 + 6 + 36 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×663661152² = 880892249347934208, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7213 + ... + 37139.

It is an arithmetic number, because the mean of its divisors is an integer number (16340688).

Almost surely, 2^663661152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176529536).

663661152 is an abundant number, since it is smaller than the sum of its proper divisors (1689397920).

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

663661152 is a wasteful number, since it uses less digits than its factorization.

663661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29961 (or 29950 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 663661152 is about 25761.6216880848. The cubic root of 663661152 is about 872.2657075418.

The spelling of 663661152 in words is "six hundred sixty-three million, six hundred sixty-one thousand, one hundred fifty-two".