19794054800601 has 45 divisors (see below), whose sum is σ = 30911834943759. Its totient is φ = 12621708540144.

The previous prime is 19794054800579. The next prime is 19794054800603. The reversal of 19794054800601 is 10600845049791.

The square root of 19794054800601 is 4449051.

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

19794054800601 is a `hidden beast` number, since 1 + 9 + 7 + 94 + 0 + 548 + 0 + 0 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1730500785225 + 18063554015376 = 1315485^2 + 4250124^2 .

It is not a de Polignac number, because 19794054800601 - 2⁷ = 19794054800473 is a prime.

It is a super-2 number, since 2×19794054800601² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19794054800603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 920942811 + ... + 920964303.

Almost surely, 2^{19794054800601} is an apocalyptic number.

19794054800601 is the 4449051-st square number.

19794054800601 is the 2224526-th centered octagonal number.

It is an amenable number.

19794054800601 is a deficient number, since it is larger than the sum of its proper divisors (11117780143158).

19794054800601 is an frugal number, since it uses more digits than its factorization.

19794054800601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43044 (or 21519 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 19794054800601 in words is "nineteen trillion, seven hundred ninety-four billion, fifty-four million, eight hundred thousand, six hundred one".