189149404941981 has 72 divisors (see below), whose sum is σ = 309480794127960. Its totient is φ = 111157050850560.

The previous prime is 189149404941971. The next prime is 189149404941997.

189149404941981 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 4 + 9 + 40 + 494 + 1 + 98 + 1 = 666.

189149404941981 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 96887424745881 + 92261980196100 = 9843141^2 + 9605310^2 .

It is not a de Polignac number, because 189149404941981 - 2¹⁰ = 189149404940957 is a prime.

It is a super-2 number, since 2×189149404941981² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189149404941961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3795015 + ... + 19816683.

Almost surely, 2^{189149404941981} is an apocalyptic number.

189149404941981 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

189149404941981 is a deficient number, since it is larger than the sum of its proper divisors (120331389185979).

189149404941981 is a wasteful number, since it uses less digits than its factorization.

189149404941981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022027 (or 16022013 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 189149404941981 in words is "one hundred eighty-nine trillion, one hundred forty-nine billion, four hundred four million, nine hundred forty-one thousand, nine hundred eighty-one".