48014889129 has 45 divisors (see below), whose sum is σ = 72762898791. Its totient is φ = 31553712000.

The previous prime is 48014889107. The next prime is 48014889133. The reversal of 48014889129 is 92198841084.

It is a happy number.

The square root of 48014889129 is 219123.

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

48014889129 is a `hidden beast` number, since 480 + 148 + 8 + 9 + 12 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21560517225 + 26454371904 = 146835^2 + 162648^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48014889129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (48014889229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 191294254 + ... + 191294504.

Almost surely, 2^48014889129 is an apocalyptic number.

48014889129 is the 219123-rd square number.

48014889129 is the 109562-nd centered octagonal number.

It is an amenable number.

48014889129 is a deficient number, since it is larger than the sum of its proper divisors (24748009662).

48014889129 is an frugal number, since it uses more digits than its factorization.

48014889129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 48014889129 in words is "forty-eight billion, fourteen million, eight hundred eighty-nine thousand, one hundred twenty-nine".