190639644129 has 81 divisors (see below), whose sum is σ = 308055547891. Its totient is φ = 113521980000.

The previous prime is 190639644103. The next prime is 190639644199. The reversal of 190639644129 is 921446936091.

It is a happy number.

The square root of 190639644129 is 436623.

It is a perfect power (a square), and thus also a powerful number.

190639644129 is a `hidden beast` number, since 1 + 90 + 6 + 3 + 96 + 441 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183164312529 + 7475331600 = 427977^2 + 86460^2 .

It is not a de Polignac number, because 190639644129 - 2¹³ = 190639635937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190639644199) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1455264394 + ... + 1455264524.

Almost surely, 2^190639644129 is an apocalyptic number.

190639644129 is the 436623-rd square number.

190639644129 is the 218312-nd centered octagonal number.

It is an amenable number.

190639644129 is a deficient number, since it is larger than the sum of its proper divisors (117415903762).

190639644129 is a wasteful number, since it uses less digits than its factorization.

190639644129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 190639644129 in words is "one hundred ninety billion, six hundred thirty-nine million, six hundred forty-four thousand, one hundred twenty-nine".