29146428765 has 24 divisors (see below), whose sum is σ = 50537219928. Its totient is φ = 15539610240.

The previous prime is 29146428763. The next prime is 29146428781. The reversal of 29146428765 is 56782464192.

29146428765 is a `hidden beast` number, since 2 + 9 + 146 + 428 + 76 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10096632324 + 19049796441 = 100482^2 + 138021^2 .

It is not a de Polignac number, because 29146428765 - 2¹ = 29146428763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29146428763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31947 + ... + 243543.

It is an arithmetic number, because the mean of its divisors is an integer number (2105717497).

Almost surely, 2^29146428765 is an apocalyptic number.

It is an amenable number.

29146428765 is a deficient number, since it is larger than the sum of its proper divisors (21390791163).

29146428765 is a wasteful number, since it uses less digits than its factorization.

29146428765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214669 (or 214666 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 29146428765 in words is "twenty-nine billion, one hundred forty-six million, four hundred twenty-eight thousand, seven hundred sixty-five".