134794468450404 has 243 divisors, whose sum is σ = 418347678099897. Its totient is φ = 36483213001536.

The previous prime is 134794468450381. The next prime is 134794468450417. The reversal of 134794468450404 is 404054864497431.

The square root of 134794468450404 is 11610102.

It is a perfect power (a square), and thus also a powerful number.

134794468450404 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 9 + 4 + 46 + 84 + 504 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112627321210404 + 22167147240000 = 10612602^2 + 4708200^2 .

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 80 ways as a sum of consecutive naturals, for example, 9264854122 + ... + 9264868670.

Almost surely, 2^{134794468450404} is an apocalyptic number.

134794468450404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

134794468450404 is the 11610102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134794468450404

134794468450404 is an abundant number, since it is smaller than the sum of its proper divisors (283553209649493).

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

134794468450404 is an equidigital number, since it uses as much as digits as its factorization.

134794468450404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29160 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 134794468450404 in words is "one hundred thirty-four trillion, seven hundred ninety-four billion, four hundred sixty-eight million, four hundred fifty thousand, four hundred four".