228596090477040 has 1920 divisors, whose sum is σ = 940867343969280. Its totient is φ = 50672894976000.

The previous prime is 228596090477021. The next prime is 228596090477107. The reversal of 228596090477040 is 40774090695822.

228596090477040 is a `hidden beast` number, since 2 + 28 + 59 + 6 + 0 + 90 + 477 + 0 + 4 + 0 = 666.

228596090477040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203558405919 + ... + 203558407041.

It is an arithmetic number, because the mean of its divisors is an integer number (490035074984).

Almost surely, 2^{228596090477040} is an apocalyptic number.

228596090477040 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 228596090477040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470433671984640).

228596090477040 is an abundant number, since it is smaller than the sum of its proper divisors (712271253492240).

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

228596090477040 is a wasteful number, since it uses less digits than its factorization.

228596090477040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 228596090477040 in words is "two hundred twenty-eight trillion, five hundred ninety-six billion, ninety million, four hundred seventy-seven thousand, forty".