229953462036480 has 9216 divisors, whose sum is σ = 1163154952028160. Its totient is φ = 42195537100800.

The previous prime is 229953462036479. The next prime is 229953462036523. The reversal of 229953462036480 is 84630264359922.

229953462036480 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 5 + 346 + 203 + 6 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4892626851817 + ... + 4892626851863.

It is an arithmetic number, because the mean of its divisors is an integer number (126210389760).

Almost surely, 2^{229953462036480} is an apocalyptic number.

229953462036480 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 229953462036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581577476014080).

229953462036480 is an abundant number, since it is smaller than the sum of its proper divisors (933201489991680).

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

229953462036480 is a wasteful number, since it uses less digits than its factorization.

229953462036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 229953462036480 in words is "two hundred twenty-nine trillion, nine hundred fifty-three billion, four hundred sixty-two million, thirty-six thousand, four hundred eighty".