23628144960 has 1120 divisors, whose sum is σ = 104498363520. Its totient is φ = 5007163392.

The previous prime is 23628144919. The next prime is 23628144971. The reversal of 23628144960 is 6944182632.

23628144960 is a `hidden beast` number, since 2 + 3 + 628 + 14 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 352658847 + ... + 352658913.

Almost surely, 2^23628144960 is an apocalyptic number.

23628144960 is a gapful number since it is divisible by the number (20) 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 23628144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52249181760).

23628144960 is an abundant number, since it is smaller than the sum of its proper divisors (80870218560).

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

23628144960 is an equidigital number, since it uses as much as digits as its factorization.

23628144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

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

The spelling of 23628144960 in words is "twenty-three billion, six hundred twenty-eight million, one hundred forty-four thousand, nine hundred sixty".