194249664000 has 1600 divisors, whose sum is σ = 850882361472. Its totient is φ = 43130880000.

The previous prime is 194249663989. The next prime is 194249664023. The reversal of 194249664000 is 466942491.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×194249664000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1923263950 + ... + 1923264050.

Almost surely, 2^194249664000 is an apocalyptic number.

194249664000 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 194249664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425441180736).

194249664000 is an abundant number, since it is smaller than the sum of its proper divisors (656632697472).

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

194249664000 is an equidigital number, since it uses as much as digits as its factorization.

194249664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 194249664000 in words is "one hundred ninety-four billion, two hundred forty-nine million, six hundred sixty-four thousand".