3248656220160 has 600 divisors, whose sum is σ = 12164957632464. Its totient is φ = 797253304320.

The previous prime is 3248656220141. The next prime is 3248656220179. The reversal of 3248656220160 is 610226568423.

3248656220160 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 6 + 5 + 622 + 0 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3248656220141) and next prime (3248656220179).

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

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, 9814671195 + ... + 9814671525.

Almost surely, 2^{3248656220160} is an apocalyptic number.

3248656220160 is a gapful number since it is divisible by the number (30) 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 3248656220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6082478816232).

3248656220160 is an abundant number, since it is smaller than the sum of its proper divisors (8916301412304).

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

3248656220160 is an frugal number, since it uses more digits than its factorization.

3248656220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3248656220160 in words is "three trillion, two hundred forty-eight billion, six hundred fifty-six million, two hundred twenty thousand, one hundred sixty".