229650267989376 has 512 divisors, whose sum is σ = 744756040089600. Its totient is φ = 70105089116160.

The previous prime is 229650267989341. The next prime is 229650267989383. The reversal of 229650267989376 is 673989762056922.

229650267989376 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 502 + 6 + 79 + 8 + 9 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 229650267989295 and 229650267989304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461925891 + ... + 462422781.

It is an arithmetic number, because the mean of its divisors is an integer number (1454601640800).

Almost surely, 2^{229650267989376} is an apocalyptic number.

229650267989376 is a gapful number since it is divisible by the number (26) 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 229650267989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372378020044800).

229650267989376 is an abundant number, since it is smaller than the sum of its proper divisors (515105772100224).

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

229650267989376 is an equidigital number, since it uses as much as digits as its factorization.

229650267989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497066 (or 497036 counting only the distinct ones).

The product of its (nonzero) digits is 7407106560, while the sum is 81.

The spelling of 229650267989376 in words is "two hundred twenty-nine trillion, six hundred fifty billion, two hundred sixty-seven million, nine hundred eighty-nine thousand, three hundred seventy-six".