194216393021952 has 2560 divisors, whose sum is σ = 682132340736000. Its totient is φ = 47865562398720.

The previous prime is 194216393021947. The next prime is 194216393021999. The reversal of 194216393021952 is 259120393612491.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 194216393021892 and 194216393021901.

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 255 ways as a sum of consecutive naturals, for example, 1397240237499 + ... + 1397240237637.

It is an arithmetic number, because the mean of its divisors is an integer number (266457945600).

Almost surely, 2^{194216393021952} is an apocalyptic number.

194216393021952 is a gapful number since it is divisible by the number (12) 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 194216393021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341066170368000).

194216393021952 is an abundant number, since it is smaller than the sum of its proper divisors (487915947714048).

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

194216393021952 is a wasteful number, since it uses less digits than its factorization.

194216393021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 194216393021952 in words is "one hundred ninety-four trillion, two hundred sixteen billion, three hundred ninety-three million, twenty-one thousand, nine hundred fifty-two".