228806014947840 has 960 divisors, whose sum is σ = 943658092016640. Its totient is φ = 52548719984640.

The previous prime is 228806014947791. The next prime is 228806014947847. The reversal of 228806014947840 is 48749410608822.

228806014947840 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 60 + 1 + 494 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×228806014947840² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (228806014947847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129134797 + ... + 130894643.

It is an arithmetic number, because the mean of its divisors is an integer number (982977179184).

Almost surely, 2^{228806014947840} is an apocalyptic number.

228806014947840 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 228806014947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471829046008320).

228806014947840 is an abundant number, since it is smaller than the sum of its proper divisors (714852077068800).

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

228806014947840 is a wasteful number, since it uses less digits than its factorization.

228806014947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759915 (or 1759887 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 228806014947840 in words is "two hundred twenty-eight trillion, eight hundred six billion, fourteen million, nine hundred forty-seven thousand, eight hundred forty".