194968166400 has 1680 divisors, whose sum is σ = 873119009664. Its totient is φ = 42042654720.

The previous prime is 194968166369. The next prime is 194968166401. The reversal of 194968166400 is 4661869491.

It is a happy number.

194968166400 is a `hidden beast` number, since 1 + 94 + 96 + 8 + 1 + 66 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (194968166401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2670796764 + ... + 2670796836.

Almost surely, 2^194968166400 is an apocalyptic number.

194968166400 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 194968166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436559504832).

194968166400 is an abundant number, since it is smaller than the sum of its proper divisors (678150843264).

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

194968166400 is an equidigital number, since it uses as much as digits as its factorization.

194968166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 194968166400 in words is "one hundred ninety-four billion, nine hundred sixty-eight million, one hundred sixty-six thousand, four hundred".