29743923532401 has 135 divisors (see below), whose sum is σ = 48232443228333. Its totient is φ = 17662455289440.

The previous prime is 29743923532369. The next prime is 29743923532409. The reversal of 29743923532401 is 10423532934792.

The square root of 29743923532401 is 5453799.

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

29743923532401 is a `hidden beast` number, since 2 + 9 + 7 + 4 + 392 + 3 + 5 + 3 + 240 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14747512382001 + 14996411150400 = 3840249^2 + 3872520^2 .

It is not a de Polignac number, because 29743923532401 - 2⁵ = 29743923532369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29743923532409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 85717358710 + ... + 85717359056.

Almost surely, 2^{29743923532401} is an apocalyptic number.

29743923532401 is the 5453799-th square number.

29743923532401 is the 2726900-th centered octagonal number.

It is an amenable number.

29743923532401 is a deficient number, since it is larger than the sum of its proper divisors (18488519695932).

29743923532401 is an frugal number, since it uses more digits than its factorization.

29743923532401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 29743923532401 in words is "twenty-nine trillion, seven hundred forty-three billion, nine hundred twenty-three million, five hundred thirty-two thousand, four hundred one".