228523582074240 has 768 divisors, whose sum is σ = 846340185600000. Its totient is φ = 58887910268928.

The previous prime is 228523582074169. The next prime is 228523582074427. The reversal of 228523582074240 is 42470285325822.

228523582074240 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 2 + 3 + 5 + 8 + 207 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 577247886 + ... + 577643634.

It is an arithmetic number, because the mean of its divisors is an integer number (1102005450000).

Almost surely, 2^{228523582074240} is an apocalyptic number.

228523582074240 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 228523582074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423170092800000).

228523582074240 is an abundant number, since it is smaller than the sum of its proper divisors (617816603525760).

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

228523582074240 is an equidigital number, since it uses as much as digits as its factorization.

228523582074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395909 (or 395885 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 228523582074240 in words is "two hundred twenty-eight trillion, five hundred twenty-three billion, five hundred eighty-two million, seventy-four thousand, two hundred forty".