189944414208 has 600 divisors, whose sum is σ = 619144261120. Its totient is φ = 58047528960.

The previous prime is 189944414173. The next prime is 189944414249. The reversal of 189944414208 is 802414449981.

189944414208 is a `hidden beast` number, since 18 + 9 + 9 + 4 + 4 + 414 + 208 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6127239153 + ... + 6127239183.

Almost surely, 2^189944414208 is an apocalyptic number.

189944414208 is a gapful number since it is divisible by the number (18) 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 189944414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309572130560).

189944414208 is an abundant number, since it is smaller than the sum of its proper divisors (429199846912).

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

189944414208 is an frugal number, since it uses more digits than its factorization.

189944414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 189944414208 in words is "one hundred eighty-nine billion, nine hundred forty-four million, four hundred fourteen thousand, two hundred eight".