228766187520 has 1224 divisors, whose sum is σ = 942937356816. Its totient is φ = 52999225344.

The previous prime is 228766187513. The next prime is 228766187603. The reversal of 228766187520 is 25781667822.

228766187520 is a `hidden beast` number, since 22 + 87 + 6 + 6 + 18 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13456834552 + ... + 13456834568.

Almost surely, 2^228766187520 is an apocalyptic number.

228766187520 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 228766187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471468678408).

228766187520 is an abundant number, since it is smaller than the sum of its proper divisors (714171169296).

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

228766187520 is an frugal number, since it uses more digits than its factorization.

228766187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 228766187520 in words is "two hundred twenty-eight billion, seven hundred sixty-six million, one hundred eighty-seven thousand, five hundred twenty".