229516681680 has 1600 divisors, whose sum is σ = 996371228160. Its totient is φ = 48575324160.

The previous prime is 229516681661. The next prime is 229516681697. The reversal of 229516681680 is 86186615922.

229516681680 is a `hidden beast` number, since 2 + 2 + 9 + 516 + 68 + 1 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2578839076 + ... + 2578839164.

Almost surely, 2^229516681680 is an apocalyptic number.

229516681680 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 229516681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498185614080).

229516681680 is an abundant number, since it is smaller than the sum of its proper divisors (766854546480).

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

229516681680 is a wasteful number, since it uses less digits than its factorization.

229516681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 229516681680 in words is "two hundred twenty-nine billion, five hundred sixteen million, six hundred eighty-one thousand, six hundred eighty".