228475376640 has 1056 divisors, whose sum is σ = 949759789056. Its totient is φ = 49686773760.

The previous prime is 228475376603. The next prime is 228475376651. The reversal of 228475376640 is 46673574822.

228475376640 is a `hidden beast` number, since 2 + 2 + 8 + 4 + 7 + 537 + 66 + 40 = 666.

228475376640 is digitally balanced in base 3, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 729953124 + ... + 729953436.

Almost surely, 2^228475376640 is an apocalyptic number.

228475376640 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 228475376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474879894528).

228475376640 is an abundant number, since it is smaller than the sum of its proper divisors (721284412416).

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

228475376640 is a wasteful number, since it uses less digits than its factorization.

228475376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 228475376640 in words is "two hundred twenty-eight billion, four hundred seventy-five million, three hundred seventy-six thousand, six hundred forty".