29370761641 has 9 divisors (see below), whose sum is σ = 31806255159. Its totient is φ = 27109415736.

The previous prime is 29370761639. The next prime is 29370761657. The reversal of 29370761641 is 14616707392.

The square root of 29370761641 is 171379.

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., 4344787225 + 25025974416 = 65915^2 + 158196^2 .

It is not a de Polignac number, because 29370761641 - 2¹ = 29370761639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29370761591 and 29370761600.

It is not an unprimeable number, because it can be changed into a prime (29370761741) 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, 2221336 + ... + 2234518.

It is an arithmetic number, because the mean of its divisors is an integer number (3534028351).

Almost surely, 2^29370761641 is an apocalyptic number.

29370761641 is the 171379-th square number.

29370761641 is the 85690-th centered octagonal number.

It is an amenable number.

29370761641 is a deficient number, since it is larger than the sum of its proper divisors (2435493518).

29370761641 is an frugal number, since it uses more digits than its factorization.

29370761641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26392 (or 13196 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 29370761641 in words is "twenty-nine billion, three hundred seventy million, seven hundred sixty-one thousand, six hundred forty-one".