742869203163129 has 135 divisors (see below), whose sum is σ = 1305832735769661. Its totient is φ = 419640715992960.

The previous prime is 742869203163089. The next prime is 742869203163133. The reversal of 742869203163129 is 921361302968247.

The square root of 742869203163129 is 27255627.

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

742869203163129 is a `hidden beast` number, since 7 + 4 + 286 + 9 + 2 + 0 + 31 + 6 + 312 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20221902753129 + 722647300410000 = 4496877^2 + 26882100^2 .

It is not a de Polignac number, because 742869203163129 - 2¹¹ = 742869203161081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (742869203163149) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 152822298159 + ... + 152822303019.

Almost surely, 2^{742869203163129} is an apocalyptic number.

742869203163129 is the 27255627-th square number.

742869203163129 is the 13627814-th centered octagonal number.

It is an amenable number.

742869203163129 is a deficient number, since it is larger than the sum of its proper divisors (562963532606532).

742869203163129 is an frugal number, since it uses more digits than its factorization.

742869203163129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 742869203163129 in words is "seven hundred forty-two trillion, eight hundred sixty-nine billion, two hundred three million, one hundred sixty-three thousand, one hundred twenty-nine".