29625638641 has 9 divisors (see below), whose sum is σ = 31270400121. Its totient is φ = 28063296324.

The previous prime is 29625638621. The next prime is 29625638657. The reversal of 29625638641 is 14683652692.

The square root of 29625638641 is 172121.

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

It is not a de Polignac number, because 29625638641 - 2²⁵ = 29592084209 is a prime.

It is a super-2 number, since 2×29625638641² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29625638611) 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, 3265770 + ... + 3274828.

Almost surely, 2^29625638641 is an apocalyptic number.

29625638641 is the 172121-st square number.

29625638641 is the 86061-st centered octagonal number.

It is an amenable number.

29625638641 is a deficient number, since it is larger than the sum of its proper divisors (1644761480).

29625638641 is an frugal number, since it uses more digits than its factorization.

29625638641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18156 (or 9078 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The spelling of 29625638641 in words is "twenty-nine billion, six hundred twenty-five million, six hundred thirty-eight thousand, six hundred forty-one".