228238557258600 has 1152 divisors, whose sum is σ = 931912210944000. Its totient is φ = 48868710359040.

The previous prime is 228238557258587. The next prime is 228238557258661. The reversal of 228238557258600 is 6852755832822.

228238557258600 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 3 + 8 + 5 + 572 + 58 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41656970661 + ... + 41656976139.

It is an arithmetic number, because the mean of its divisors is an integer number (808951572000).

Almost surely, 2^{228238557258600} is an apocalyptic number.

228238557258600 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 228238557258600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465956105472000).

228238557258600 is an abundant number, since it is smaller than the sum of its proper divisors (703673653685400).

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

228238557258600 is a wasteful number, since it uses less digits than its factorization.

228238557258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 228238557258600 in words is "two hundred twenty-eight trillion, two hundred thirty-eight billion, five hundred fifty-seven million, two hundred fifty-eight thousand, six hundred".