228682113408 has 768 divisors, whose sum is σ = 852862832640. Its totient is φ = 59480801280.

The previous prime is 228682113329. The next prime is 228682113437. The reversal of 228682113408 is 804311286822.

228682113408 is a `hidden beast` number, since 2 + 28 + 6 + 8 + 211 + 3 + 408 = 666.

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, 114741660 + ... + 114743652.

It is an arithmetic number, because the mean of its divisors is an integer number (1110498480).

Almost surely, 2^228682113408 is an apocalyptic number.

228682113408 is a gapful number since it is divisible by the number (28) 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 228682113408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426431416320).

228682113408 is an abundant number, since it is smaller than the sum of its proper divisors (624180719232).

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

228682113408 is a wasteful number, since it uses less digits than its factorization.

228682113408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2077 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 228682113408 in words is "two hundred twenty-eight billion, six hundred eighty-two million, one hundred thirteen thousand, four hundred eight".