29142916553 has 16 divisors (see below), whose sum is σ = 31929947280. Its totient is φ = 26475595776.

The previous prime is 29142916531. The next prime is 29142916657. The reversal of 29142916553 is 35561924192.

It can be written as a sum of positive squares in 8 ways, for example, as 7869818944 + 21273097609 = 88712^2 + 145853^2 .

It is a cyclic number.

It is not a de Polignac number, because 29142916553 - 2²⁶ = 29075807689 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 29142916498 and 29142916507.

It is not an unprimeable number, because it can be changed into a prime (29142916753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781701 + ... + 2792157.

It is an arithmetic number, because the mean of its divisors is an integer number (1995621705).

Almost surely, 2^29142916553 is an apocalyptic number.

It is an amenable number.

29142916553 is a deficient number, since it is larger than the sum of its proper divisors (2787030727).

29142916553 is a wasteful number, since it uses less digits than its factorization.

29142916553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16156.

The product of its digits is 583200, while the sum is 47.

The spelling of 29142916553 in words is "twenty-nine billion, one hundred forty-two million, nine hundred sixteen thousand, five hundred fifty-three".