229475795649408 has 1536 divisors, whose sum is σ = 910818155520000. Its totient is φ = 53622121512960.

The previous prime is 229475795649403. The next prime is 229475795649449. The reversal of 229475795649408 is 804946597574922.

229475795649408 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 7 + 5 + 7 + 9 + 564 + 9 + 40 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229475795649403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5388125778 + ... + 5388168366.

It is an arithmetic number, because the mean of its divisors is an integer number (592980570000).

Almost surely, 2^{229475795649408} is an apocalyptic number.

229475795649408 is a gapful number since it is divisible by the number (28) 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 229475795649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455409077760000).

229475795649408 is an abundant number, since it is smaller than the sum of its proper divisors (681342359870592).

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

229475795649408 is a wasteful number, since it uses less digits than its factorization.

229475795649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42808 (or 42793 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 229475795649408 in words is "two hundred twenty-nine trillion, four hundred seventy-five billion, seven hundred ninety-five million, six hundred forty-nine thousand, four hundred eight".