57106946916801 has 6 divisors (see below), whose sum is σ = 82487812213170. Its totient is φ = 38071297944528.

The previous prime is 57106946916749. The next prime is 57106946916839. The reversal of 57106946916801 is 10861964960175.

57106946916801 is a `hidden beast` number, since 5 + 7 + 1 + 0 + 6 + 9 + 469 + 168 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53158972640400 + 3947974276401 = 7291020^2 + 1986951^2 .

It is not a de Polignac number, because 57106946916801 - 2¹⁸ = 57106946654657 is a prime.

It is a super-2 number, since 2×57106946916801² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (57105946916801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3172608162036 + ... + 3172608162053.

It is an arithmetic number, because the mean of its divisors is an integer number (13747968702195).

Almost surely, 2^{57106946916801} is an apocalyptic number.

It is an amenable number.

57106946916801 is a deficient number, since it is larger than the sum of its proper divisors (25380865296369).

57106946916801 is a wasteful number, since it uses less digits than its factorization.

57106946916801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345216324095 (or 6345216324092 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 57106946916801 in words is "fifty-seven trillion, one hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, eight hundred one".