29372920463041 has 9 divisors (see below), whose sum is σ = 29398431345699. Its totient is φ = 29347431712704.

The previous prime is 29372920463027. The next prime is 29372920463063. The reversal of 29372920463041 is 14036402927392.

It is a happy number.

The square root of 29372920463041 is 5419679.

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

It can be written as a sum of positive squares in only one way, i.e., 24844093828225 + 4528826634816 = 4984385^2 + 2128104^2 .

It is a de Polignac number, because none of the positive numbers 2^k-29372920463041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29372920463041.

It is not an unprimeable number, because it can be changed into a prime (29372920463011) 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, 10931491200 + ... + 10931493886.

Almost surely, 2^{29372920463041} is an apocalyptic number.

29372920463041 is the 5419679-th square number.

29372920463041 is the 2709840-th centered octagonal number.

It is an amenable number.

29372920463041 is a deficient number, since it is larger than the sum of its proper divisors (25510882658).

29372920463041 is an frugal number, since it uses more digits than its factorization.

29372920463041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9408 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 29372920463041 in words is "twenty-nine trillion, three hundred seventy-two billion, nine hundred twenty million, four hundred sixty-three thousand, forty-one".