229635986307840 has 3024 divisors, whose sum is σ = 992971679414400. Its totient is φ = 50671192965120.

The previous prime is 229635986307811. The next prime is 229635986307887. The reversal of 229635986307840 is 48703689536922.

It is a happy number.

229635986307840 is a `hidden beast` number, since 2 + 2 + 96 + 359 + 86 + 3 + 0 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 335 ways as a sum of consecutive naturals, for example, 252070236985 + ... + 252070237895.

It is an arithmetic number, because the mean of its divisors is an integer number (328363650600).

Almost surely, 2^{229635986307840} is an apocalyptic number.

229635986307840 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 229635986307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496485839707200).

229635986307840 is an abundant number, since it is smaller than the sum of its proper divisors (763335693106560).

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

229635986307840 is an equidigital number, since it uses as much as digits as its factorization.

229635986307840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 229635986307840 in words is "two hundred twenty-nine trillion, six hundred thirty-five billion, nine hundred eighty-six million, three hundred seven thousand, eight hundred forty".