189449438976 has 288 divisors, whose sum is σ = 673970572800. Its totient is φ = 51279298560.

The previous prime is 189449438951. The next prime is 189449438977. The reversal of 189449438976 is 679834944981.

189449438976 is a `hidden beast` number, since 1 + 8 + 94 + 4 + 94 + 389 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×189449438976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189449438977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 816256 + ... + 1022336.

It is an arithmetic number, because the mean of its divisors is an integer number (2340175600).

Almost surely, 2^189449438976 is an apocalyptic number.

189449438976 is a gapful number since it is divisible by the number (16) 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 189449438976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336985286400).

189449438976 is an abundant number, since it is smaller than the sum of its proper divisors (484521133824).

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

189449438976 is a wasteful number, since it uses less digits than its factorization.

189449438976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206132 (or 206112 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 189449438976 in words is "one hundred eighty-nine billion, four hundred forty-nine million, four hundred thirty-eight thousand, nine hundred seventy-six".