14387782093129 has 9 divisors (see below), whose sum is σ = 14418354895399. Its totient is φ = 14357274004840.

The previous prime is 14387782093099. The next prime is 14387782093133. The reversal of 14387782093129 is 92139028778341.

The square root of 14387782093129 is 3793123.

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

It can be written as a sum of positive squares in only one way, i.e., 1633598403129 + 12754183690000 = 1278123^2 + 3571300^2 .

It is not a de Polignac number, because 14387782093129 - 2⁹ = 14387782092617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14387782033129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1907937099 + ... + 1907944639.

Almost surely, 2^{14387782093129} is an apocalyptic number.

14387782093129 is the 3793123-rd square number.

14387782093129 is the 1896562-nd centered octagonal number.

It is an amenable number.

14387782093129 is a deficient number, since it is larger than the sum of its proper divisors (30572802270).

14387782093129 is an frugal number, since it uses more digits than its factorization.

14387782093129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

Multiplying 14387782093129 by its sum of digits (64), we get a square (920818053960256 = 30344984²).

The spelling of 14387782093129 in words is "fourteen trillion, three hundred eighty-seven billion, seven hundred eighty-two million, ninety-three thousand, one hundred twenty-nine".