129652473342016 has 63 divisors (see below), whose sum is σ = 261577170470343. Its totient is φ = 63760778718720.

The previous prime is 129652473342011. The next prime is 129652473342017. The reversal of 129652473342016 is 610243374256921.

It is a happy number.

The square root of 129652473342016 is 11386504.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112165891905600 + 17486581436416 = 10590840^2 + 4181696^2 .

It is a super-2 number, since 2×129652473342016² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (129652473342011) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5556602286 + ... + 5556625618.

Almost surely, 2^{129652473342016} is an apocalyptic number.

129652473342016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129652473342016 is the 11386504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129652473342016

129652473342016 is an abundant number, since it is smaller than the sum of its proper divisors (131924697128327).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129652473342016 is an frugal number, since it uses more digits than its factorization.

129652473342016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46800 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 129652473342016 in words is "one hundred twenty-nine trillion, six hundred fifty-two billion, four hundred seventy-three million, three hundred forty-two thousand, sixteen".