229251662640000 has 11520 divisors, whose sum is σ = 1247935374100800. Its totient is φ = 41385738240000.

The previous prime is 229251662639999. The next prime is 229251662640023. The reversal of 229251662640000 is 46266152922.

229251662640000 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 5 + 16 + 626 + 4 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 13485391919992 + ... + 13485391920008.

Almost surely, 2^{229251662640000} is an apocalyptic number.

229251662640000 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 229251662640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623967687050400).

229251662640000 is an abundant number, since it is smaller than the sum of its proper divisors (1018683711460800).

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

229251662640000 is an equidigital number, since it uses as much as digits as its factorization.

229251662640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 229251662640000 in words is "two hundred twenty-nine trillion, two hundred fifty-one billion, six hundred sixty-two million, six hundred forty thousand".