229479746480640 has 960 divisors, whose sum is σ = 808888400686080. Its totient is φ = 60116714127360.

The previous prime is 229479746480609. The next prime is 229479746480651. The reversal of 229479746480640 is 46084647974922.

229479746480640 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 79 + 74 + 6 + 480 + 6 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 378055595217 + ... + 378055595823.

It is an arithmetic number, because the mean of its divisors is an integer number (842592084048).

Almost surely, 2^{229479746480640} is an apocalyptic number.

229479746480640 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 229479746480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404444200343040).

229479746480640 is an abundant number, since it is smaller than the sum of its proper divisors (579408654205440).

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

229479746480640 is a wasteful number, since it uses less digits than its factorization.

229479746480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 229479746480640 in words is "two hundred twenty-nine trillion, four hundred seventy-nine billion, seven hundred forty-six million, four hundred eighty thousand, six hundred forty".