194680248000 has 896 divisors, whose sum is σ = 785125785600. Its totient is φ = 41545728000.

The previous prime is 194680247977. The next prime is 194680248011. The reversal of 194680248000 is 842086491.

194680248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×194680248000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 151031356 + ... + 151032644.

Almost surely, 2^194680248000 is an apocalyptic number.

194680248000 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 194680248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392562892800).

194680248000 is an abundant number, since it is smaller than the sum of its proper divisors (590445537600).

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

194680248000 is a wasteful number, since it uses less digits than its factorization.

194680248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 194680248000 in words is "one hundred ninety-four billion, six hundred eighty million, two hundred forty-eight thousand".