189449093600 has 576 divisors, whose sum is σ = 531315868608. Its totient is φ = 65495040000.

The previous prime is 189449093591. The next prime is 189449093629. The reversal of 189449093600 is 6390944981.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1875733550 + ... + 1875733650.

It is an arithmetic number, because the mean of its divisors is an integer number (922423383).

Almost surely, 2^189449093600 is an apocalyptic number.

189449093600 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 189449093600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265657934304).

189449093600 is an abundant number, since it is smaller than the sum of its proper divisors (341866775008).

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

189449093600 is a wasteful number, since it uses less digits than its factorization.

189449093600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 53.

The spelling of 189449093600 in words is "one hundred eighty-nine billion, four hundred forty-nine million, ninety-three thousand, six hundred".