557238906729 has 32 divisors (see below), whose sum is σ = 832276131840. Its totient is φ = 368462618496.

The previous prime is 557238906701. The next prime is 557238906737. The reversal of 557238906729 is 927609832755.

557238906729 is a `hidden beast` number, since 5 + 572 + 38 + 9 + 0 + 6 + 7 + 29 = 666.

It is not a de Polignac number, because 557238906729 - 2¹⁷ = 557238775657 is a prime.

It is a super-2 number, since 2×557238906729² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (557238906779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13122159 + ... + 13164555.

It is an arithmetic number, because the mean of its divisors is an integer number (26008629120).

Almost surely, 2^557238906729 is an apocalyptic number.

It is an amenable number.

557238906729 is a deficient number, since it is larger than the sum of its proper divisors (275037225111).

557238906729 is a wasteful number, since it uses less digits than its factorization.

557238906729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46366 (or 46360 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 557238906729 in words is "five hundred fifty-seven billion, two hundred thirty-eight million, nine hundred six thousand, seven hundred twenty-nine".