6857814900049 has 9 divisors (see below), whose sum is σ = 7021123186779. Its totient is φ = 6698220845400.

The previous prime is 6857814900047. The next prime is 6857814900113. The reversal of 6857814900049 is 9400094187586.

The square root of 6857814900049 is 2618743.

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., 225210049 + 6857589690000 = 15007^2 + 2618700^2 .

It is not a de Polignac number, because 6857814900049 - 2¹ = 6857814900047 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 6857814900049.

It is not an unprimeable number, because it can be changed into a prime (6857814900047) 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, 112575499 + ... + 112636399.

It is an arithmetic number, because the mean of its divisors is an integer number (780124798531).

Almost surely, 2^{6857814900049} is an apocalyptic number.

6857814900049 is the 2618743-rd square number.

6857814900049 is the 1309372-nd centered octagonal number.

It is an amenable number.

6857814900049 is a deficient number, since it is larger than the sum of its proper divisors (163308286730).

6857814900049 is an frugal number, since it uses more digits than its factorization.

6857814900049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121888 (or 60944 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 6857814900049 in words is "six trillion, eight hundred fifty-seven billion, eight hundred fourteen million, nine hundred thousand, forty-nine".