29142463456134 has 72 divisors (see below), whose sum is σ = 73486203385608. Its totient is φ = 8322416444160.

The previous prime is 29142463456087. The next prime is 29142463456177. The reversal of 29142463456134 is 43165436424192.

29142463456134 is a `hidden beast` number, since 2 + 9 + 1 + 4 + 2 + 46 + 3 + 4 + 561 + 34 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6103372 + ... + 9774255.

It is an arithmetic number, because the mean of its divisors is an integer number (1020641713689).

Almost surely, 2^{29142463456134} is an apocalyptic number.

29142463456134 is an abundant number, since it is smaller than the sum of its proper divisors (44343739929474).

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

29142463456134 is a wasteful number, since it uses less digits than its factorization.

29142463456134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15879730 (or 15879720 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 29142463456134 in words is "twenty-nine trillion, one hundred forty-two billion, four hundred sixty-three million, four hundred fifty-six thousand, one hundred thirty-four".