207626946921 has 45 divisors (see below), whose sum is σ = 312958895029. Its totient is φ = 137179478016.

The previous prime is 207626946887. The next prime is 207626946937. The reversal of 207626946921 is 129649626702.

The square root of 207626946921 is 455661.

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

207626946921 is a `hidden beast` number, since 2 + 0 + 7 + 626 + 9 + 4 + 6 + 9 + 2 + 1 = 666.

207626946921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 193125970521 + 14500976400 = 439461^2 + 120420^2 .

It is not a de Polignac number, because 207626946921 - 2⁹ = 207626946409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (207626946941) 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, 807886825 + ... + 807887081.

Almost surely, 2^207626946921 is an apocalyptic number.

207626946921 is the 455661-st square number.

207626946921 is the 227831-st centered octagonal number.

It is an amenable number.

207626946921 is a deficient number, since it is larger than the sum of its proper divisors (105331948108).

207626946921 is an frugal number, since it uses more digits than its factorization.

207626946921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 207626946921 in words is "two hundred seven billion, six hundred twenty-six million, nine hundred forty-six thousand, nine hundred twenty-one".