228077968064640 has 512 divisors, whose sum is σ = 742874125271040. Its totient is φ = 59508511211520.

The previous prime is 228077968064539. The next prime is 228077968064641. The reversal of 228077968064640 is 46460869770822.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228077968064641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11677731675 + ... + 11677751205.

It is an arithmetic number, because the mean of its divisors is an integer number (1450926025920).

Almost surely, 2^{228077968064640} is an apocalyptic number.

228077968064640 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 228077968064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371437062635520).

228077968064640 is an abundant number, since it is smaller than the sum of its proper divisors (514796157206400).

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

228077968064640 is a wasteful number, since it uses less digits than its factorization.

228077968064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340 (or 20328 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 228077968064640 in words is "two hundred twenty-eight trillion, seventy-seven billion, nine hundred sixty-eight million, sixty-four thousand, six hundred forty".