228363649683840 has 3072 divisors, whose sum is σ = 957122533785600. Its totient is φ = 49580163072000.

The previous prime is 228363649683833. The next prime is 228363649683899. The reversal of 228363649683840 is 48386946363822.

228363649683840 is a `hidden beast` number, since 2 + 2 + 8 + 3 + 63 + 6 + 496 + 8 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 257456199877 + ... + 257456200763.

It is an arithmetic number, because the mean of its divisors is an integer number (311563324800).

Almost surely, 2^{228363649683840} is an apocalyptic number.

228363649683840 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 228363649683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478561266892800).

228363649683840 is an abundant number, since it is smaller than the sum of its proper divisors (728758884101760).

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

228363649683840 is a wasteful number, since it uses less digits than its factorization.

228363649683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 72.

The spelling of 228363649683840 in words is "two hundred twenty-eight trillion, three hundred sixty-three billion, six hundred forty-nine million, six hundred eighty-three thousand, eight hundred forty".