228325011264 has 672 divisors, whose sum is σ = 823672012800. Its totient is φ = 59003043840.

The previous prime is 228325011253. The next prime is 228325011301. The reversal of 228325011264 is 462110523822.

228325011264 is a `hidden beast` number, since 2 + 2 + 83 + 2 + 501 + 12 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 187612384 + ... + 187613600.

It is an arithmetic number, because the mean of its divisors is an integer number (1225702400).

Almost surely, 2^228325011264 is an apocalyptic number.

228325011264 is a gapful number since it is divisible by the number (24) 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 228325011264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411836006400).

228325011264 is an abundant number, since it is smaller than the sum of its proper divisors (595347001536).

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

228325011264 is a wasteful number, since it uses less digits than its factorization.

228325011264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 228325011264 in words is "two hundred twenty-eight billion, three hundred twenty-five million, eleven thousand, two hundred sixty-four".