624907641121 has 9 divisors (see below), whose sum is σ = 647222977011. Its totient is φ = 603336967464.

The previous prime is 624907641101. The next prime is 624907641133. The reversal of 624907641121 is 121146709426.

The square root of 624907641121 is 790511.

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

624907641121 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 only one way, i.e., 327686408721 + 297221232400 = 572439^2 + 545180^2 .

It is not a de Polignac number, because 624907641121 - 2¹³ = 624907632929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (624907641101) 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, 22911190 + ... + 22938448.

Almost surely, 2^624907641121 is an apocalyptic number.

624907641121 is the 790511-st square number.

624907641121 is the 395256-th centered octagonal number.

It is an amenable number.

624907641121 is a deficient number, since it is larger than the sum of its proper divisors (22315335890).

624907641121 is an frugal number, since it uses more digits than its factorization.

624907641121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54576 (or 27288 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 624907641121 in words is "six hundred twenty-four billion, nine hundred seven million, six hundred forty-one thousand, one hundred twenty-one".