229806622635408 has 1600 divisors, whose sum is σ = 890212622745600. Its totient is φ = 56738180201472.

The previous prime is 229806622635379. The next prime is 229806622635451. The reversal of 229806622635408 is 804536226608922.

It is a happy number.

229806622635408 is a `hidden beast` number, since 2 + 2 + 9 + 8 + 0 + 6 + 6 + 22 + 63 + 540 + 8 = 666.

It is a super-2 number, since 2×229806622635408² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6246933591 + ... + 6246970377.

It is an arithmetic number, because the mean of its divisors is an integer number (556382889216).

Almost surely, 2^{229806622635408} is an apocalyptic number.

229806622635408 is a gapful number since it is divisible by the number (28) 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 229806622635408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445106311372800).

229806622635408 is an abundant number, since it is smaller than the sum of its proper divisors (660406000110192).

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

229806622635408 is a wasteful number, since it uses less digits than its factorization.

229806622635408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911 (or 36882 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 229806622635408 in words is "two hundred twenty-nine trillion, eight hundred six billion, six hundred twenty-two million, six hundred thirty-five thousand, four hundred eight".