194166225601920 has 5632 divisors, whose sum is σ = 903386779545600. Its totient is φ = 39182082048000.

The previous prime is 194166225601919. The next prime is 194166225601921. The reversal of 194166225601920 is 29106522661491.

It is a happy number.

194166225601920 is a `hidden beast` number, since 1 + 9 + 4 + 1 + 6 + 6 + 2 + 2 + 5 + 601 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (194166225601919) and next prime (194166225601921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194166225601921) by changing a digit.

It is a polite number, since it can be written in 703 ways as a sum of consecutive naturals, for example, 3183052878690 + ... + 3183052878750.

Almost surely, 2^{194166225601920} is an apocalyptic number.

194166225601920 is a gapful number since it is divisible by the number (10) 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 194166225601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451693389772800).

194166225601920 is an abundant number, since it is smaller than the sum of its proper divisors (709220553943680).

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

194166225601920 is a wasteful number, since it uses less digits than its factorization.

194166225601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 194166225601920 in words is "one hundred ninety-four trillion, one hundred sixty-six billion, two hundred twenty-five million, six hundred one thousand, nine hundred twenty".