229191189776640 has 1728 divisors, whose sum is σ = 1033660071714816. Its totient is φ = 47327679184896.

The previous prime is 229191189776587. The next prime is 229191189776671. The reversal of 229191189776640 is 46677981191922.

229191189776640 is a `hidden beast` number, since 2 + 291 + 91 + 189 + 7 + 76 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1330231939 + ... + 1330404221.

It is an arithmetic number, because the mean of its divisors is an integer number (598182911872).

Almost surely, 2^{229191189776640} is an apocalyptic number.

229191189776640 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 229191189776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516830035857408).

229191189776640 is an abundant number, since it is smaller than the sum of its proper divisors (804468881938176).

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

229191189776640 is a wasteful number, since it uses less digits than its factorization.

229191189776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172386 (or 172360 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 229191189776640 in words is "two hundred twenty-nine trillion, one hundred ninety-one billion, one hundred eighty-nine million, seven hundred seventy-six thousand, six hundred forty".