1629194407201 has 9 divisors (see below), whose sum is σ = 1660582867699. Its totient is φ = 1598388517336.

The previous prime is 1629194407199. The next prime is 1629194407277. The reversal of 1629194407201 is 1027044919261.

The square root of 1629194407201 is 1276399.

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., 1174481550225 + 454712856976 = 1083735^2 + 674324^2 .

It is not a de Polignac number, because 1629194407201 - 2¹ = 1629194407199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1629194407301) 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, 67637106 + ... + 67661188.

Almost surely, 2^{1629194407201} is an apocalyptic number.

1629194407201 is the 1276399-th square number.

1629194407201 is the 638200-th centered octagonal number.

It is an amenable number.

1629194407201 is a deficient number, since it is larger than the sum of its proper divisors (31388460498).

1629194407201 is an frugal number, since it uses more digits than its factorization.

1629194407201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48272 (or 24136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 1629194407201 in words is "one trillion, six hundred twenty-nine billion, one hundred ninety-four million, four hundred seven thousand, two hundred one".