4855416657001 has 27 divisors (see below), whose sum is σ = 5008243364823. Its totient is φ = 4707206976240.

The previous prime is 4855416656983. The next prime is 4855416657107. The reversal of 4855416657001 is 1007566145584.

The square root of 4855416657001 is 2203501.

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

It can be written as a sum of positive squares in only one way, i.e., 4416743576025 + 438673080976 = 2101605^2 + 662324^2 .

It is not a de Polignac number, because 4855416657001 - 2⁷ = 4855416656873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4855416657001.

It is not an unprimeable number, because it can be changed into a prime (4855416657601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17916666496 + ... + 17916666766.

Almost surely, 2^{4855416657001} is an apocalyptic number.

4855416657001 is the 2203501-st square number.

4855416657001 is the 1101751-st centered octagonal number.

It is an amenable number.

4855416657001 is a deficient number, since it is larger than the sum of its proper divisors (152826707822).

4855416657001 is an frugal number, since it uses more digits than its factorization.

4855416657001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 4855416657001 in words is "four trillion, eight hundred fifty-five billion, four hundred sixteen million, six hundred fifty-seven thousand, one".